Imaging lens and imaging apparatus

ABSTRACT

An imaging lens substantially consists of six lenses, composed of a negative first lens, a positive second lens, a negative third lens, a positive fourth lens, a positive fifth lens, and a negative sixth lens, disposed in order from the object side, and satisfies, when the distance between the first lens and the second lens is taken as Db12, the center thickness of the second lens is taken as D3, the focal length of the second lens is taken as f2, the focal length of the entire system is taken as f, the paraxial radius of curvature of the object side surface of the first lens is taken as R1f, and the paraxial radius of curvature of the image side surface of the first lens is taken as R1r, conditional expressions given below: 
       1.0&lt;( Db 12+ D 3)/ f   (1)
 
         f 2/ f &lt;1.68  (2)
 
       1.1&lt;( R 1 f+R 1 r )/( R 1 f−R 1 r )&lt;2.2  (3-3)

CROSS-REFERENCE TO RELATED APPLICATIONS

The present application claims priority under 35 U.S.C. §119 to JapanesePatent Application No. 2013-267018 filed on Dec. 25, 2013, the contentof which is hereby expressly incorporated herein by reference in itsentirety.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to an imaging lens and an imagingapparatus, and more specifically to an imaging lens that can befavorably used in, for example, vehicle cameras, portable terminalcameras, and surveillance cameras that use a CCD (Charge CoupledDevice), a CMOS (Complementary Metal Oxide Semiconductor), and the like,and an imaging apparatus equipped with the imaging lens.

2. Description of the Related Art

Recently, the downsizing and the trend towards high pixel count in imagesensors such as, for example, a CCD and a CMOS have been advancingrapidly. Along with this, the downsizing of the bodies of imagingdevices and systems is also in progress. As such, imaging lenses mountedon these devices and systems are also demanded to be downsized, inaddition to satisfactory optical performance. In the meantime,inexpensive configurations, wide angles, and high performance aredemanded for the applications of vehicle cameras and surveillancecameras, along with the downsizing.

As an imaging lens used in vehicle cameras, International PatentPublication No. WO2012/086199 describes a six-element lens system,composed of a negative lens, a positive lens, a negative lens, apositive lens, a positive lens, and a negative lens disposed in orderfrom the object side. Japanese Unexamined Patent Publication No.2009-204997 describes a six-element image reading lens having arefractive power (hereinafter, also referred to as “power”) arrangementidentical to that described above.

SUMMARY OF THE INVENTION

In the meantime, the requirements for imaging lenses used in vehiclecameras, surveillance cameras, and the like are getting severe yearafter year, and it is demanded that further improvement in performancebe realized, while having a compact and wide angle configuration.

In view of the circumstances described above, it is an object of thepresent invention to provide a small and wide angle imaging lens capableof further enhancing the performance, and an imaging apparatus equippedwith the imaging lens.

A first imaging lens of the present invention substantially consists ofsix lenses, composed of a first lens having a negative refractive power,a second lens having a positive refractive power, a third lens having anegative refractive power, a fourth lens having a positive refractivepower, a fifth lens having a positive refractive power, and a sixth lenshaving a negative refractive power, disposed in order from the objectside, wherein the imaging lens satisfies conditional expressions givenbelow:

1.0<(Db12+D3)/f  (1)

f2/f<1.68  (2)

1.1<(R1f+R1r)/(R1f−R1r)<2.2  (3-3)

where

Db12: air space on the optical axis between the first lens and thesecond lens

D3: center thickness of the second lens

f2: focal length of the second lens

f: focal length of the entire system

R1f: paraxial radius of curvature of the object side surface of thefirst lens

R1r: paraxial radius of curvature of the image side surface of the firstlens

A second imaging lens of the present invention substantially consists ofsix lenses, composed of a first lens having a negative refractive power,a second lens having a positive refractive power, a third lens having anegative refractive power, a fourth lens having a positive refractivepower, a fifth lens having a positive refractive power, and a sixth lenshaving a negative refractive power, disposed in order from the objectside, wherein the imaging lens satisfies conditional expressions givenbelow:

1.1<(R1f+R1r)/(R1f−R1r)<2.0  (3-4)

1.6<f3456/f  (4)

0.0<f4/f<2.45  (5)

νd6<30  (6)

where

R1f: paraxial radius of curvature of the object side surface of thefirst lens

R1r: paraxial radius of curvature of the image side surface of the firstlens

f4: focal length of the fourth lens

f3456: combined focal length of the third lens to the sixth lens

f: focal length of the entire system

νd6: Abbe number of the material of the sixth lens with respect to thed-line

A third imaging lens of the present invention substantially consists ofsix lenses, composed of a first lens having a negative refractive power,a second lens having a positive refractive power, a third lens having anegative refractive power, a fourth lens having a positive refractivepower, a fifth lens having a positive refractive power, and a sixth lenshaving a negative refractive power, disposed in order from the objectside, wherein the imaging lens satisfies conditional expressions givenbelow:

0.38<Db12/f  (7)

f12/f<2.5  (8)

f5/f<5.0  (9)

νd6<30  (6)

where

Db12: air space on the optical axis between the first lens and thesecond lens

f: focal length of the entire system

f5: focal length of the fifth lens

f12: combined focal length of the first lens and the second lens

νd6: Abbe number of the material of the sixth lens with respect to thed-line

A fourth imaging lens of the present invention substantially consists ofsix lenses, composed of a first lens having a negative refractive power,a second lens having a positive refractive power, a third lens having anegative refractive power, a fourth lens having a positive refractivepower, a fifth lens having a positive refractive power, and a sixth lenshaving a negative refractive power, disposed in order from the objectside, wherein the imaging lens satisfies conditional expressions givenbelow:

−0.15<(R2f+R2r)/(R2f−R2r)  (10)

−2.5<(R5f+R5r)/(R5f−R5r)<−0.25  (11)

−4.0<(R6f+R6r)/(R6f−R6r)  (12)

where

R2f: paraxial radius of curvature of the object side surface of thesecond lens

R2r: paraxial radius of curvature of the image side surface of thesecond lens

R5f: paraxial radius of curvature of the object side surface of thefifth lens

R5r: paraxial radius of curvature of the image side surface of the fifthlens

R6f: paraxial radius of curvature of the object side surface of thesixth lens

R6r: paraxial radius of curvature of the image side surface of the sixthlens

Preferably, the first, the second, the third, and the fourth imaginglenses satisfy conditional expressions (2), (3-4), (5), (7), (8), (10),(11), and (13) to (18) given below. Preferred aspects may include animaging lens having a configuration of any one or any combination of twoor more of the conditional expressions.

f2/f<1.68  (2)

1.1<(R1f+R1r)/(R1f−R1r)<2.0  (3-4)

0.0<f4/f<2.45  (5)

0.38<Db12/f  (7)

f12/f<2.5  (8)

−0.15<(R2f+R2r)/(R2f−R2r)  (10)

−2.5<(R5f+R5r)/(R5f−R5r)<−0.25  (11)

0.0<R1f/f  (13)

−3.0<f1/f<−0.5  (14)

0.1<f12/f3456<2.0  (15)

0.2<(D3+Db23)/f<3.0  (16)

−3.0<f1/f2<−0.2  (17)

νd3<30  (18)

where

R1f: paraxial radius of curvature of the object side surface of thefirst lens

R1r: paraxial radius of curvature of the image side surface of the firstlens

R2f: paraxial radius of curvature of the object side surface of thesecond lens

R2r: paraxial radius of curvature of the image side surface of thesecond lens

R5f: paraxial radius of curvature of the object side surface of thefifth lens

R5r: paraxial radius of curvature of the image side surface of the fifthlens

D3: center thickness of the second lens

Db12: air space on the optical axis between the first lens and thesecond lens

Db23: air space on the optical axis between the second lens and thethird lens

f: focal length of the entire system

f1: focal length of the first lens

f2: focal length of the second lens

f4: focal length of the fourth lens

f12: combined focal length of the first lens and the second lens

f3456: combined focal length of the third lens to the sixth lens

νd3: Abbe number of the material of the third lens with respect to thed-line

In the first, the second, the third, and the fourth imaging lenses, thefourth lens is preferably a biconvex lens.

In the present invention, the sign of a refractive power (power) and aconcave or convex shape of a surface are considered in the paraxialregion if it includes an aspherical surface unless otherwisespecifically described. Further, in the present invention, the sign ofradius of curvature is positive for a surface shape with a convexsurface on the object side and negative for a surface shape with aconvex surface on the image side.

The term “substantially” in the context of “substantially consists ofsix lenses” described above intends to that the imaging lens of thepresent invention may include a lens having substantially no refractivepower, an optical element other than a lens, such as a stop, a coverglass, and the like, a lens flange, a lens barrel, and a mechanicalcomponent, for example, a camera shake correction mechanism, in additionto the six lenses.

The imaging apparatus of the present invention is equipped with theimaging lens of the present invention described above.

According to the imaging lens of the present invention, in a six-elementlens system, the power arrangement is set appropriately and the lenssystem is configured to satisfy given conditional expressions. Thisallows a small and wide angle lens system capable of further enhancingthe performance to be realized.

According to the imaging apparatus of the present invention, theapparatus may be constructed small with a wide angle of view and mayobtain a high resolution image, as the apparatus is equipped with theimaging lens of the present invention.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 shows a configuration and optical paths of an imaging lensaccording to one embodiment of the present invention.

FIG. 2 is a cross-sectional view of an imaging lens of Example 1 of thepresent invention, illustrating the configuration thereof.

FIG. 3 is a cross-sectional view of an imaging lens of Example 2 of thepresent invention, illustrating the configuration thereof.

FIG. 4 is a cross-sectional view of an imaging lens of Example 3 of thepresent invention, illustrating the configuration thereof.

FIG. 5 is a cross-sectional view of an imaging lens of Example 4 of thepresent invention, illustrating the configuration thereof.

FIG. 6 is a cross-sectional view of an imaging lens of Example 5 of thepresent invention, illustrating the configuration thereof.

FIG. 7 is a cross-sectional view of an imaging lens of Example 6 of thepresent invention, illustrating the configuration thereof.

FIG. 8 is a cross-sectional view of an imaging lens of Example 7 of thepresent invention, illustrating the configuration thereof.

FIG. 9 is a cross-sectional view of an imaging lens of Example 8 of thepresent invention, illustrating the configuration thereof.

FIG. 10 is a cross-sectional view of an imaging lens of Example 9 of thepresent invention, illustrating the configuration thereof.

FIG. 11 is a cross-sectional view of an imaging lens of Example 10 ofthe present invention, illustrating the configuration thereof.

FIG. 12 is a cross-sectional view of an imaging lens of Example 11 ofthe present invention, illustrating the configuration thereof.

FIG. 13 is a cross-sectional view of an imaging lens of Example 12 ofthe present invention, illustrating the configuration thereof.

FIG. 14 is a cross-sectional view of an imaging lens of Example 13 ofthe present invention, illustrating the configuration thereof.

FIG. 15 is a cross-sectional view of an imaging lens of Example 14 ofthe present invention, illustrating the configuration thereof.

FIG. 16 is a cross-sectional view of an imaging lens of Example 15 ofthe present invention, illustrating the configuration thereof.

FIG. 17 is a cross-sectional view of an imaging lens of Example 16 ofthe present invention, illustrating the configuration thereof.

FIG. 18 is a cross-sectional view of an imaging lens of Example 17 ofthe present invention, illustrating the configuration thereof.

FIG. 19 is a cross-sectional view of an imaging lens of Example 18 ofthe present invention, illustrating the configuration thereof.

FIG. 20 is a cross-sectional view of an imaging lens of Example 19 ofthe present invention, illustrating the configuration thereof.

FIG. 21 is a cross-sectional view of an imaging lens of Example 20 ofthe present invention, illustrating the configuration thereof.

FIG. 22 is a cross-sectional view of an imaging lens of Example 21 ofthe present invention, illustrating the configuration thereof.

FIG. 23 is a cross-sectional view of an imaging lens of Example 22 ofthe present invention, illustrating the configuration thereof.

FIG. 24 shows aberration diagrams of the imaging lens of Example 1, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 25 shows aberration diagrams of the imaging lens of Example 2, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 26 shows aberration diagrams of the imaging lens of Example 3, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 27 shows aberration diagrams of the imaging lens of Example 4, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 28 shows aberration diagrams of the imaging lens of Example 5, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 29 shows aberration diagrams of the imaging lens of Example 6, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 30 shows aberration diagrams of the imaging lens of Example 7, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 31 shows aberration diagrams of the imaging lens of Example 8, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 32 shows aberration diagrams of the imaging lens of Example 9, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 33 shows aberration diagrams of the imaging lens of Example 10, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 34 shows aberration diagrams of the imaging lens of Example 11, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 35 shows aberration diagrams of the imaging lens of Example 12, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 36 shows aberration diagrams of the imaging lens of Example 13, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 37 shows aberration diagrams of the imaging lens of Example 14, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 38 shows aberration diagrams of the imaging lens of Example 15, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 39 shows aberration diagrams of the imaging lens of Example 16, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 40 shows aberration diagrams of the imaging lens of Example 17, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 41 shows aberration diagrams of the imaging lens of Example 18, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 42 shows aberration diagrams of the imaging lens of Example 19, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 43 shows aberration diagrams of the imaging lens of Example 20, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 44 shows aberration diagrams of the imaging lens of Example 21, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 45 shows aberration diagrams of the imaging lens of Example 22, inwhich diagrams of spherical aberration, astigmatism, distortion, andlateral chromatic aberration are arranged from the left in the drawing.

FIG. 46 illustrates an arrangement of vehicle imaging apparatusesaccording to an embodiment of the present invention.

DESCRIPTION OF THE PREFERRED EMBODIMENTS

Hereinafter, embodiments of the present invention will be described indetail with reference to the accompanying drawings.

[Embodiment of Imaging Lens]

An imaging lens according to an embodiment of the present invention willbe described first with reference to FIG. 1. FIG. 1 illustrates aconfiguration and optical paths of an imaging lens 1 according to oneembodiment of the present invention. Note that the imaging lens 1illustrated in FIG. 1 corresponds to an imaging lens according toExample 1 of the present invention, to be described later. In FIG. 1,the left side of the drawing is the object side and the right side isthe image side, and an axial light beam 2 and maximum total angle ofview off-axis light beams 3 and 4 from an object point at infinity arealso illustrated.

In FIG. 1, an image sensor 5 disposed on the image plane Sim thatincludes the image point Pim of the imaging lens 1 is also illustrated,taking into account the case in which the imaging lens 1 is applied toan imaging apparatus. The image sensor 5 convers an optical image formedby the imaging lens 1 to an electrical signal and, for example, a CCDimage sensor or a CMOS image sensor may be used.

When applying the imaging lens 1 to an imaging apparatus, a cover glassand a low-pass filter or an infrared cut filter are preferably providedaccording to the structure on the camera side, and FIG. 1 illustrates anexample case in which a parallel plate optical member PP which assumesthese is disposed between the most image side lens and the image sensor5 (image plane Sim).

The imaging lens 1 substantially consists of six lenses, composed of afirst lens L1 having a negative refractive power, a second lens L2having a positive refractive power, a third lens L3 having a negativerefractive power, a fourth lens L4 having a positive refractive power, afifth lens L5 having a positive refractive power, and a sixth lens L6having a negative refractive power, disposed in order from the objectside. Note that FIG. 1 also illustrates an aperture stop St, but theillustrated aperture stop St does not represent the shape or size butindicates the position on the optical axis Z.

Disposition of the negative first lens L1 on the most object side isadvantageous for increasing the angle of view. Formation of the thirdlens L3 and the fourth lens L4 as a negative lens and a positive lensrespectively is advantageous for satisfactory correction of longitudinalchromatic aberration. Formation of the fifth lens L5 and the sixth lensL6 as a positive lens and a negative lens respectively is advantageousfor satisfactory correction of lateral chromatic aberration. The powerarrangement of negative, positive, negative, positive, positive, andnegative in order from the object side is advantageous for realizing asmall F-number, a wide angle of view, and satisfactory resolutionperformance.

The imaging lens 1 preferably satisfies any one or any combination ofconditional expressions (1) to (21) given below:

1.0<(Db12+D3)/f  (1)

f2/f<1.68  (2)

1.0<(R1f+R1r)/(R1f−R1r)  (3)

1.6<f3456/f  (4)

0.0<f4/f<2.45  (5)

νd6<30  (6)

0.38<Db12/f  (7)

f12/f<2.5  (8)

f5/f<5.0  (9)

−0.15<(R2f+R2r)/(R2f−R2r)  (10)

−2.5<(R5f+R5r)/(R5f−R5r)<−0.25  (11)

−4.0<(R6f+R6r)/(R6f−R6r)  (12)

0.0<R1f/f  (13)

−3.0<f1/f<−0.5  (14)

0.1<f12/f3456<2.0  (15)

0.2<(D3+Db23)/f<3.0  (16)

−3.0<f1/f2<−0.2  (17)

νd3<30  (18)

0.3<f4/f5  (19)

0.3<f56/f  (20)

0.17<Db23/f  (21)

where

R1f: paraxial radius of curvature of the object side surface of thefirst lens

R1r: paraxial radius of curvature of the image side surface of the firstlens

R2f: paraxial radius of curvature of the object side surface of thesecond lens

R2r: paraxial radius of curvature of the image side surface of thesecond lens

R5f: paraxial radius of curvature of the object side surface of thefifth lens

R5r: paraxial radius of curvature of the image side surface of the fifthlens

R6f: paraxial radius of curvature of the object side surface of thesixth lens

R6r: paraxial radius of curvature of the image side surface of the sixthlens

D3: center thickness of the second lens

Db12: air space on the optical axis between the first lens and thesecond lens

Db23: air space on the optical axis between the second lens and thethird lens

f: focal length of the entire system

f1: focal length of the first lens

f2: focal length of the second lens

f4: focal length of the fourth lens

f5: focal length of the fifth lens

f12: combined focal length of the first lens and the second lens

f56: combined focal length of the fifth lens and the sixth lens

f3456: combined focal length of the third lens to the sixth lens

νd3: Abbe number of the material of the third lens with respect to thed-line

νd6: Abbe number of the material of the sixth lens with respect to thed-line Configuration of the imaging lens 1 so as not to fall to or belowthe lower limit of the conditional expression (1) allows the air spacebetween the first lens L1 and the second lens L2, or the centerthickness of the second lens L2 to be increased easily, wherebyastigmatism and distortion may be corrected easily.

Configuration of the imaging lens 1 so as not to reach or exceed theupper limit of the conditional expression (2) allows the power of thesecond lens L2 to be increased easily, whereby astigmatism may becorrected easily.

Configuration of the imaging lens 1 so as not to fall to or below thelower limit of the conditional expression (3) allows the negative firstlens L1 to be formed as a meniscus lens with a convex surface on theobject side, whereby distortion may be corrected easily.

Configuration of the imaging lens 1 so as not to fall to or below thelower limit of the conditional expression (4) allows the combined powerof the third lens L3 to the sixth lens L6 to be prevented easily fromincreasing excessively, whereby the back focus may be increased easily.

Configuration of the imaging lens 1 so as not to reach or exceed theupper limit of the conditional expression (5) allows the power of thefourth lens L4 to be increased easily, whereby longitudinal chromaticaberration may be corrected easily in cooperation of the third lens L3and the fourth lens L4. Configuration of the imaging lens 1 so as not tofall to or below the lower limit of the conditional expression (5)allows the power of the fourth lens L4 to be prevented easily fromincreasing excessively, whereby the positive power is divided easilybetween the fourth lens L4 and the fifth lens L5, and sphericalaberration may be corrected easily.

Configuration of the imaging lens 1 so as not to reach or exceed theupper limit of the conditional expression (6) allows the Abbe number ofthe sixth lens L6 to be reduced easily, whereby lateral chromaticaberration may be corrected easily.

Configuration of the imaging lens 1 so as not to fall to or below thelower limit of the conditional expression (7) allows the air spacebetween the first lens L1 and the second lens L2 to be increased easily,whereby astigmatism and distortion may be corrected easily.

Configuration of the imaging lens 1 so as not to reach or exceed theupper limit of the conditional expression (8) allows the combined focallength of the first lens L1 and the second lens L2 to be kept smalleasily, whereby astigmatism may be corrected easily.

Configuration of the imaging lens 1 so as not to reach or exceed theupper limit of the conditional expression (9) allows the power of thefifth lens L5 to be increased easily, whereby lateral chromaticaberration may be corrected easily in cooperation of the fifth lens L5and the sixth lens L6, or allows the angle of a peripheral ray incidenton the image sensor to be prevented easily from increasing, wherebyshading may be prevented easily.

Configuration of the imaging lens 1 so as not to fall to or below thelower limit of the conditional expression (10) allows the absolute valueof the radius of curvature of the object side surface of the second lensL2 to be increased easily, whereby astigmatism may be corrected easily.

The fifth lens L5 is a positive lens and satisfaction of the conditionalexpression (11) allows the fifth lens L5 to be a lens with the radius ofcurvature of the object side surface being smaller than that of theimage side surface. This allows spherical aberration and astigmatism tobe corrected easily. Configuration of the imaging lens 1 so as not toreach or exceed the upper limit of the conditional expression (11)allows the fifth lens L5 to be easily made into a lens with the absolutevalue of the radius of curvature of the object side surface beingsmaller than that of the image side surface. Configuration of theimaging lens 1 so as not to fall to or below the lower limit of theconditional expression (11) allows the power of the fifth lens L5 to beincreased easily, whereby the angle of a peripheral ray incident on theimage sensor may be prevented easily from increasing.

Configuration of the imaging lens 1 so as not to fall to or below thelower limit of the conditional expression (12) allows the power of thesixth lens L6 to be prevented easily from decreasing excessively,whereby lateral chromatic aberration is corrected easily.

Configuration of the imaging lens 1 so as not to fall to or below thelower limit of the conditional expression (13) allows the first lens L1to have a convex surface on the object side, whereby a ray is preventedeasily from being refracted largely by the object side surface of thefirst lens L1 and distortion may be corrected easily.

Configuration of the imaging lens 1 so as not to reach or exceed theupper limit of the conditional expression (14) allows the power of thefirst lens L1 to be reduced easily, whereby field curvature anddistortion may be corrected easy. Configuration of the imaging lens 1 soas not to fall to or below the lower limit of the conditional expression(14) allows the power of the first lens L1 to be secured easily, wherebythe angle of view may be increased easily.

Configuration of the imaging lens 1 so as not to reach or exceed theupper limit of the conditional expression (15) allows the combined powerof the first lens L1 and the second lens L2 to be increased easily,whereby the lens system may be downsized easily and astigmatism iscorrected easily, or allows the combined power of the third lens L3 tothe sixth lens L6 to be suppressed easily, whereby the back focus may beincreased easily. Configuration of the imaging lens 1 so as not to fallto or below the lower limit of the conditional expression (15) allowsthe combined power of the first lens L1 and the second lens L2 to besuppressed easily, whereby the angle of view may be increased easily, orallows the combined power of the third lens L3 to the sixth lens L6 tobe increased easily, whereby spherical aberration may be correctedeasily and the angle of a peripheral ray incident on the image sensormay be prevented easily from increasing.

Configuration of the imaging lens 1 so as not to reach or exceed theupper limit of the conditional expression (16) allows the lens system tobe downsized easily. Configuration of the imaging lens 1 so as not tofall to or below the lower limit of the conditional expression (16)allows the center thickness of the second lens L2 or the distancebetween the second lens L2 and the third lens L3 to be increased easily,whereby spherical aberration and astigmatism may be corrected easily.

Configuration of the imaging lens 1 so as not to reach or exceed theupper limit of the conditional expression (17) allows the power of thefirst lens L1 to be suppressed easily or the power of the second lens L2to be increased easily, whereby spherical aberration and astigmatism maybe corrected easily. Configuration of the imaging lens 1 so as not tofall to or below the lower limit of the conditional expression (17)allows the power of the first lens L1 to be increased easily, wherebythe angle of view may be increased easily.

Configuration of the imaging lens 1 so as not to reach or exceed theupper limit of the conditional expression (18) allows longitudinalchromatic aberration to be corrected easily.

Configuration of the imaging lens 1 so as not to fall to or below thelower limit of the conditional expression (19) allows the power of thefourth lens L4 to be prevented easily from increasing excessively or thepower of the fifth lens L5 to be prevented easily from decreasingexcessively, whereby power shifting either to the fourth lens L4 or tothe fifth lens L5 may be prevented easily and satisfactory correction ofspherical aberration may be made easily.

Configuration of the imaging lens 1 so as not to fall to or below thelower limit of the conditional expression (20) allows the combined focallength of the fifth lens L5 and the sixth lens L6 to be increased easilyin positive value, whereby the back focus may be increased easily.

Configuration of the imaging lens 1 so as not to fall to or below thelower limit of the conditional expression (21) allows the air spacebetween the second lens L2 and the third lens L3 to be increased easily,whereby spherical aberration and astigmatism may be corrected easily.

In order to further enhance the operational advantages described above,the imaging lens 1 preferably satisfies modifications of eachconditional expression described above in which the lower limit value orthe upper limit value is modified in the following manner, or an upperlimit or a lower limit is newly added. The preferred aspects are notlimited to the satisfaction of those described as formulae, and mayinclude the satisfaction of a conditional expression formed by combiningthe modified lower and upper limit values to be described herein below.

The value of the lower limit of the conditional expression (1) ispreferably modified to 1.08, more preferably to 1.12, and furtherpreferably to 1.18. An upper limit may be added to the conditionalexpression (1) and the value of which is preferably set to 5.0. Thisallows the air space between the first lens L1 and the second lens L2,and the center thickness of the second lens L2 to be reduced easily,whereby the lens system may be downsized easily. The value of the upperlimit added to the conditional expression (1) is preferably modified to3.0, more preferably to 2.0, and further preferably to 1.8. From thedescription above, the imaging lens 1 more preferably satisfies, forexample, at least one of conditional expressions given below:

1.0<(Db12+D3)/f<5.0  (1-1)

1.0<(Db12+D3)/f<3.0  (1-2)

1.08<(Db12+D3)/f<2.0  (1-3)

1.12<(Db12+D3)/f<1.8  (1-4)

1.18<(Db12+D3)/f<3.0  (1-5)

The value of the upper limit of the conditional expression (2) ispreferably modified to 1.5, more preferably to 1.4, and furtherpreferably to 1.3. A lower limit may be added to the conditionalexpression (2) and the value of which is preferably set to 0.3. Thisallows the power of the second lens L2 to be prevented easily fromincreasing excessively, whereby a permissible amount of manufacturingerror of eccentricity may be increased and cost reduction may beachieved easily. The value of the lower limit added to the conditionalexpression (2) is preferably modified to 0.5 and more preferably to 0.8.From the description above, the imaging lens 1 more preferablysatisfies, for example, at least one of conditional expressions givenbelow:

0.3<f2/f<1.68  (2-1)

0.3<f2/f<1.5  (2-2)

0.5<f2/f<1.5  (2-3)

0.8<f2/f<1.4  (2-4)

0.3<f2/f<1.3  (2-5)

The value of the lower limit of the conditional expression (3) ispreferably modified to 1.1 and more preferably to 1.2. An upper limitmay be added to the conditional expression (3) and the value of which ispreferably set to 3.0. This allows the difference in absolute value ofradius of curvature between the object side surface and the image sidesurface of the first lens L1 to be increased easily, whereby the angleof view may be increased easily. The value of the upper limit added tothe conditional expression (3) is preferably modified to 2.7, morepreferably to 2.4, further preferably to 2.2, particularly preferably to2.0, and further particularly preferably to 1.8. From the descriptionabove, the imaging lens 1 more preferably satisfies, for example, atleast one of conditional expressions given below:

1.2<(R1f+R1r)/(R1f−Rh)  (3-1)

1.1<(R1f+R1r)/(R1f−R1r)<3.0  (3-2)

1.1<(R1f+R1r)/(R1f−R1r)<2.2  (3-3)

1.1<(R1f+R1r)/(R1f−R1r)<2.0  (3-4)

1.1<(R1f+R1r)/(R1f−R1r)<1.8  (3-5)

1.2<(R1f+R1r)/(R1f−R1r)<2.7  (3-6)

1.2<(R1f+R1r)/(R1f−R1r)<2.4  (3-7)

1.2<(R1f+R1r)/(R1f−R1r)<2.2  (3-8)

The value of the lower limit of the conditional expression (4) ispreferably modified to 1.7, more preferably to 1.9, and furtherpreferably to 2.0. An upper limit may be added to the conditionalexpression (4) and the value of which is preferably set to 10.0. Thisallows the combined power of the third lens L3 to the sixth lens L6 tobe increased easily, whereby spherical aberration and astigmatism may becorrected easily. The value of the upper limit added to the conditionalexpression (4) is preferably modified to 7.0, more preferably to 5.0,further preferably to 4.0, and still further preferably to 3.5. From thedescription above, the imaging lens 1 more preferably satisfies, forexample, at least one of conditional expressions given below:

1.6<f3456/f<10.0  (4-1)

1.7<f3456/f<7.0  (4-2)

1.9<f3456/f<4.0  (4-3)

2.0<f3456/f<3.5  (4-4)

The value of the upper limit of the conditional expression (5) ispreferably modified to 2.4, more preferably to 2.3, and furtherpreferably to 2.2. The value of the lower limit of the conditionalexpression (5) is preferably modified to 0.4, more preferably to 0.6,further preferably to 0.9, and still further preferably to 1.1. From thedescription above, the imaging lens 1 more preferably satisfies, forexample, at least one of conditional expressions given below:

0.4<f4/f<2.45  (5-1)

0.6<f4/f<2.4  (5-2)

0.9<f4/f<2.3  (5-3)

1.1<f4/f<2.2  (5-4)

The value of the upper limit of the conditional expression (6) ispreferably modified to 28, more preferably to 26, and further preferablyto 24. A lower limit may be added to the conditional expression (6) andthe value of which is preferably set to 18. This allows the Abbe numberof the sixth lens L6 to be prevented from decreasing excessively,whereby the cost of the material of the sixth lens L6 may be suppressedeasily. The value of the lower limit added to the conditional expression(6) is preferably modified to 19 and more preferably to 20. From thedescription above, the imaging lens 1 more preferably satisfies, forexample, at least one of conditional expressions given below:

νd6<28  (6-1)

νd6<26  (6-2)

νd6<24  (6-3)

18<νd6<28  (6-4)

19<νd6<26  (6-5)

19<νd6<24  (6-6)

20<νd6<30  (6-7)

An upper limit may be added to the conditional expression (7) and thevalue of which is preferably set to 4.0. This allows the air spacebetween the first lens L1 and the second lens L2 to be reduced easily,whereby the lens system may be downsized easily. The value of the upperlimit added to the conditional expression (7) is preferably modified to3.0, more preferably to 2.0, and further preferably to 1.0. From thedescription above, the imaging lens 1 more preferably satisfies, forexample, at least one of conditional expressions given below:

0.38<Db12/f<4.0  (7-1)

0.38<Db12/f<3.0  (7-2)

0.38<Db12/f<2.0  (7-3)

0.38<Db12/f<1.0  (7-4)

The value of the upper limit of the conditional expression (8) ispreferably modified to 3.0, more preferably to 2.5, further preferablyto 2.0, and still further preferably to 1.8. A lower limit may be addedto the conditional expression (8) and the value of which is preferablyset to 0.5. This allows the combined focal length of the first lens L1and the second lens L2 to be increased easily in positive value, wherebythe angle of view may be increased easily. The value of the lower limitadded to the conditional expression (8) is preferably modified to 0.8and more preferably to 1.0. From the description above, the imaging lens1 more preferably satisfies, for example, at least one of conditionalexpressions given below:

0.5<f12/f<2.5  (8-1)

0.5<f12/f<2.0  (8-2)

0.8<f12/f<3.0  (8-3)

1.0<f12/f<2.5  (8-4)

1.0<f12/f<2.0  (8-5)

The value of the upper limit of the conditional expression (9) ispreferably modified to 3.4, more preferably to 3.2, further preferablyto 3.0, and still further preferably to 2.8. A lower limit may be addedto the conditional expression (9) and the value of which is preferablyset to 0.3. This allows the power of the fifth lens L5 to be preventedeasily from increasing excessively, whereby the back focus may beincreased easily or a permissible amount of manufacturing error ofeccentricity may be increased and cost reduction may be achieved easily.The value of the lower limit value added to the conditional expression(9) is preferably modified to 0.5 and more preferably to 0.8. From thedescription above, the imaging lens 1 more preferably satisfies, forexample, at least one of conditional expressions given below:

0.3<f5/f<5.0  (9-1)

0.3<f5/f<3.4  (9-2)

0.5<f5/f<3.2  (9-3)

0.8<f5/f<3.0  (9-4)

The value of the lower limit of the conditional expression (10) ispreferably modified to −0.10, more preferably to −0.05, and furtherpreferably to 0.00. An upper limit may be added to the conditionalexpression (10) and the value of which is preferably set to 0.9. Thisallows the power of the second lens L2 to be increased easily, wherebyastigmatism may be corrected easily. The value of the upper limit addedto the conditional expression (10) is preferably modified to 0.7, morepreferably to 0.5, and further preferably to 0.4. From the descriptionabove, the imaging lens 1 more preferably satisfies, for example, atleast one of conditional expressions given below:

−0.15<(R2f+R2r)/(R2f−R2r)<0.9  (10-1)

−0.10<(R2f+R2r)/(R2f−R2r)<0.9  (10-2)

−0.10<(R2f+R2r)/(R2f−R2r)<0.7  (10-3)

−0.05<(R2f+R2r)/(R2f−R2r)<0.5  (10-4)

The value of the upper limit of the conditional expression (11) ispreferably modified to −0.26, more preferably to −0.27, and furtherpreferably to −0.28. The value of the lower limit of the conditionalexpression (11) is preferably modified to −2.0, more preferably to −1.7,further preferably to −1.5, and still further preferably to −1.2. Fromthe description above, the imaging lens 1 more preferably satisfies, forexample, at least one of conditional expressions given below:

−2.0<(R5f+R5r)/(R5f−R5r)<−0.26  (11-1)

−1.7<(R5f+R5r)/(R5f−R5r)<−0.26  (11-2)

−1.4<(R5f+R5r)/(R5f−R5r)<−0.27  (11-3)

−1.2<(R5f+R5r)/(R5f−R5r)<−0.28  (11-4)

The value of the lower limit of the conditional expression (12) ispreferably modified to −3.8, more preferably to −3.5, and furtherpreferably to −3.0. An upper limit may be added to the conditionalexpression (12) and the value of which is preferably set to −0.1. Thisallows the absolute value of radius of curvature of the image sidesurface of the sixth lens L6 to be prevented from decreasing excessivelyin concave surface, whereby the angle of a peripheral ray incident onthe image sensor may be prevented easily from increasing. The value ofthe upper limit added to the conditional expression (12) is preferablymodified to −0.3, more preferably to −0.5, and further preferably to−0.6. From the description above, the imaging lens 1 more preferablysatisfies, for example, at least one of conditional expressions givenbelow:

−4.0<(R6f+R6r)/(R6f−R6r)<−0.1  (12-1)

−3.8<(R6f+R6r)/(R6f−R6r)<−0.3  (12-2)

−3.5<(R6f+R6r)/(R6f−R6r)<−0.5  (12-3)

−3.0<(R6f+R6r)/(R6f−R6r)<−0.6  (12-4)

The value of the lower limit of the conditional expression (13) ispreferably modified to 0.3. This allows the radius of curvature of theobject side surface of the first lens L1 to be prevented easily fromdecreasing excessively, whereby the power of the first lens L1 may beincreased easily and the angle of view may be increased easily. Thevalue of the lower limit of the conditional expression (13) ispreferably modified to 0.8, more preferably to 1.0, and furtherpreferably to 1.5. An upper limit may be added to the conditionalexpression (13) and the value of which is preferably set to 30. Thisallows the radius of curvature of the object side surface of the firstlens L1 to be reduced easily, whereby distortion may be correctedeasily. The value of the upper limit added to the conditional expression(13) is preferably modified to 20, more preferably to 10, and furtherpreferably to 7. From the description above, the imaging lens 1 morepreferably satisfies, for example, at least one of conditionalexpressions given below:

0.0<R1f/f<30  (13-1)

0.3<R1f/f<20  (13-2)

0.8<R1f/f<30  (13-3)

1.5<R1f/f<10  (13-4)

The value of the upper limit of the conditional expression (14) ispreferably modified to −0.7, more preferably to −0.8, and morepreferably to −0.9. The value of the lower limit of the conditionalexpression (14) is preferably modified to −2.8, more preferably to −2.5,and further preferably to −2.0. From the description above, the imaginglens 1 more preferably satisfies, for example, at least one ofconditional expressions given below:

−2.8<f1/k−0.7  (14-1)

−2.5<f1/k−0.8  (14-2)

−2.0<f1/k−0.9  (14-3)

The value of the upper limit of the conditional expression (15) ispreferably modified to 1.5, more preferably to 1.0, and furtherpreferably to 0.9. The value of the lower limit of the conditionalexpression (15) is preferably modified to 0.2, more preferably to 0.25,and further preferably to 0.3. From the description above, the imaginglens 1 more preferably satisfies, for example, at least one ofconditional expressions given below:

0.1<f12/f3456<1.5  (15-1)

0.2<f12/f3456<1.0  (15-2)

0.3<f12/f3456<0.9  (15-3)

The value of the upper limit of the conditional expression (16) ispreferably modified to 2.5, more preferably to 2.0, and furtherpreferably to 1.5. The value of the lower limit of the conditionalexpression (16) is preferably modified to 0.4, more preferably to 0.6,and further preferably to 0.7. From the description above, the imaginglens 1 more preferably satisfies, for example, at least one ofconditional expressions given below:

0.4<(D3+Db23)/f<2.5  (16-1)

0.6<(D3+Db23)/f<2.0  (16-2)

0.7<(D3+Db23)/f<1.5  (16-3)

The value of the upper limit of the conditional expression (17) ispreferably modified to −0.4, more preferably to −0.6, and furtherpreferably to −0.8. The value of the lower limit of the conditionalexpression (17) is preferably modified to −2.5, more preferably to −2.0,and further preferably to −1.5. From the description above, the imaginglens 1 more preferably satisfies, for example, at least one ofconditional expressions given below:

−2.5<f1/f2<−0.4  (17-1)

−2.0<f1/f2<−0.6  (17-2)

−1.5<f1/f2<−0.8  (17-3)

The value of the upper limit of the conditional expression (18) ispreferably modified to 27, more preferably to 26, further preferably to25, and still further preferably to 24. A lower limit may be added tothe conditional expression (18) and the value of which is preferably setto 19. This allows the cost of the material of the third lens L3 to besuppressed easily, whereby the lens system can be made inexpensiveeasily. The value of the lower limit added to the conditional expression(18) is preferably modified to 20. From the description above, theimaging lens 1 more preferably satisfies, for example, at least one ofconditional expressions given below:

νd3<27  (18-1)

νd3<26  (18-2)

νd3<25  (18-3)

νd3<24  (18-4)

19<νd3<27  (18-5)

19<νd3<26  (18-6)

19<νd3<25  (18-7)

20<νd3<24  (18-8)

The value of the lower limit of the conditional expression (19) ispreferably modified to 0.4, more preferably to 0.5, and furtherpreferably to 0.6. An upper limit may be added to the conditionalexpression (19) and the value of which is preferably set to 3.0. Thisallows the power of the fifth lens L5 to be prevented easily fromincreasing excessively or the power of the fourth lens L4 to beprevented easily from decreasing excessively, whereby power shiftingeither to the fourth lens L4 or to the fifth lens L5 may be preventedeasily and satisfactory correction of spherical aberration may be madeeasily. The value of the upper limit added to the conditional expression(19) is preferably modified to 2.7 and more preferably to 2.4. From thedescription above, the imaging lens 1 more preferably satisfies, forexample, at least one of conditional expressions given below:

0.4<f4/f5  (19-1)

0.3<f4/f5<3.0  (19-2)

0.5<f4/f5<2.7  (19-3)

0.6<f4/f5<2.4  (19-4)

The value of the lower limit of the conditional expression (20) ispreferably modified to 0.5, more preferably to 1.0, and furtherpreferably to 1.4. An upper limit may be added to the conditionalexpression (20) and the value of which is preferably set to 30. Thisallows the combined refractive power of the fifth lens L5 and the sixthlens L6 to be increased easily, whereby the angle of a peripheral rayincident on the image sensor may be prevented easily from increasing.The value of the upper value added to the conditional expression (20) ispreferably modified to 25, more preferably to 20, and further preferablyto 15. From the description above, the imaging lens 1 more preferablysatisfies, for example, at least one of conditional expressions givenbelow:

0.3<f56/f<30  (20-1)

0.5<f56/f<25  (20-2)

1.0<f56/f<20  (20-3)

1.4<f56/f<15  (20-4)

The value of the lower limit of the conditional expression (21) ispreferably modified to 0.18 and more preferably to 0.19. An upper limitmay be added to the conditional expression (21) and the value of whichis preferably set to 3.0. This allows the air space between the secondlens L2 and the third lens L3 to be prevented easily from increasingexcessively, whereby downsizing may be achieved easily. The value of theupper limit added to the conditional expression (21) is preferablymodified to 2.5, more preferably to 2.0, further preferably to 1.0, andstill further preferably to 0.8. From the description above, the imaginglens 1 more preferably satisfies, for example, at least one ofconditional expressions given below:

0.17<Db23/f<3.0  (21-1)

0.18<Db23/f<2.0  (21-2)

0.19<Db23/f<1.0  (21-3)

When the Abbe number of the material of the first lens L1 with respectto the d-line is taken as νd1, the νd1 is preferably greater than 40.This allows satisfactory correction of longitudinal chromatic aberrationand lateral chromatic aberration to be made easily. The νd1 is morepreferably greater than 45, and further preferably greater than 50.

When the Abbe number of the material of the second lens L2 with respectto the d-line is taken as νd2, the νd2 is preferably greater than 30.This allows satisfactory correction of longitudinal chromatic aberrationto be made easily. The νd2 is more preferably greater than 35, andfurther preferably greater than 38. Further, the νd2 is preferablysmaller than 60. This allows the cost of the material of the second lensL2 to be suppressed easily and lateral chromatic aberration to becorrected easily. The νd2 is more preferably smaller than 55 and furtherpreferably smaller than 50.

Preferably, νd1/νd2 is 1.0 or greater. This allows the Abbe number ofthe first lens L1 to be increased easily, whereby longitudinal chromaticaberration may be corrected easily or the Abbe number of the material ofthe second lens L2 is prevented easily from increasing excessively andlateral chromatic aberration may be corrected easily. The νd1/νd2 ispreferably 1.6 or less. This allows the Abbe number of the material ofthe second lens L2 to be prevented easily from decreasing excessively,whereby longitudinal chromatic aberration may be corrected easily.

The preferable range of the Abbe number of the material of the thirdlens L3 with respect to the d-line is as described above in theconditional expression (18) and in the related description.

When the Abbe number of the material of the fourth lens L4 with respectto the d-line is taken as νd4, the νd4 is preferably greater than 40.This allows longitudinal chromatic aberration and lateral chromaticaberration to be corrected easily. The νd4 is more preferably greaterthan 45 and further preferably greater than 50. Further, the νd4 ispreferably smaller than 70. This allows the cost of the fourth lens L4to be suppressed easily, whereby the lens system can be made inexpensiveeasily. The νd4 is preferably smaller than 65 and more preferablysmaller than 60.

When the Abbe number of the material of the fifth lens L5 with respectto the d-line is taken as νd5, the νd5 is preferably greater than 40.This allows longitudinal chromatic aberration and lateral chromaticaberration to be corrected easily. The νd5 is more preferably greaterthan 45 and further preferably greater than 50. Further, the νd5 ispreferably smaller than 70. This allows the cost of the material of thefifth lens L5 to be suppressed easily, whereby the lens system can bemade inexpensive easily. The νd5 is preferably smaller than 65 and morepreferably smaller than 60.

The preferable range of the Abbe number of the material of the sixthlens L6 with respect to the d-line is as described above in theconditional expression (6) and in the related description.

When the refractive index of the material of the first lens L1 withrespect to the d-line is taken as Nd1, the Nd1 is preferably greaterthan 1.5. This allows the refractive index of the first lens L1 to beincreased easily, whereby the angle of view of the lens system isincreased easily. The Nd1 is more preferably greater than 1.51 andfurther preferably greater than 1.55. Further, the Nd1 is preferablysmaller than 1.85. This allows the cost of the material of the firstlens L1 to be reduced easily. The Nd1 is more preferably smaller than1.82 and further preferably smaller than 1.80.

When the refractive index of the material of the second lens L2 withrespect to the d-line is taken as Nd2, the Nd2 is preferably greaterthan 1.70. This allows field curvature to be corrected easily. The Nd2is more preferably greater than 1.72 and further preferably greater than1.75. Further, the Nd2 is preferably smaller than 1.95. This allows thecost of the material of the second lens L2 to be reduced easily. The Nd2is more preferably smaller than 1.90.

When the refractive index of the material of the third lens L3 withrespect to the d-line is taken as Nd3, the Nd3 is preferably greaterthan 1.50. This allows the power of the third lens L3 to be increasedeasily, whereby longitudinal chromatic aberration may be correctedeasily. The Nd3 is more preferably greater than 1.55 and furtherpreferably greater than 1.58. Further, the Nd3 is preferably smallerthan 1.70. This allows the refractive index of the material of the thirdlens L3 with respect to the d-line to be reduced easily, whereby thecost of the third lens L3 may be suppressed easily. The Nd3 is morepreferably smaller than 1.68 and further preferably smaller than 1.65.From the description above, the third lens L3 more preferably satisfies,for example, at least one of conditional expressions given below:

Nd3<1.7  (22)

Nd3<1.68  (22-1)

1.50<Nd3<1.65  (22-2)

1.55<Nd3<1.68  (22-3)

1.58<Nd3<1.7  (22-4)

When the refractive index of the material of the fourth lens L4 withrespect to the d-line is taken as Nd4, the Nd4 is preferably greaterthan 1.45. This allows field curvature to be corrected easily. The Nd4is more preferably greater than 1.48, further preferably greater than1.49, and still further preferably greater than 1.50. Further, the Nd4is preferably smaller than 1.60. This allows the refractive index of thematerial of the fourth lens L4 with respect to the d-line to be reduced,whereby the cost of the fourth lens L4 may be suppressed easily, and theAbbe number of the fourth lens L4 may be increased easily so thatlongitudinal chromatic aberration and lateral chromatic aberration maybe corrected easily. The Nd4 is more preferably smaller than 1.58 andfurther preferably smaller than 1.55. From the description above, thefourth lens L4 more preferably satisfies, for example, at least one ofconditional expressions given below:

Nd4<1.6  (23)

Nd4<1.55  (23-1)

1.45<Nd4<1.6  (23-2)

1.48<Nd4<1.58  (23-3)

1.50<Nd4<1.58  (23-4)

When the refractive index of the material of the fifth lens L5 withrespect to the d-line is taken as Nd5, the Nd5 is preferably greaterthan 1.45. This allows the power of the fifth lens L5 to be increasedeasily, whereby field curvature may be corrected easily or the angle ofa peripheral ray incident on the image sensor may be prevented easilyfrom increasing and shading may be prevented easily. The Nd5 is morepreferably greater than 1.48, further preferably greater than 1.50.Further, the Nd5 is more preferably smaller than 1.60. This allows therefractive index of the material of the fifth lens L5 with respect tothe d-line to be reduced easily, whereby the cost of the fifth lens L5may be suppressed easily and the Abbe number of the fifth lens L5 may beincreased easily, so that longitudinal chromatic aberration and lateralchromatic aberration may be corrected easily. The Nd5 is more preferablysmaller than 1.58 and further preferably smaller than 1.55. From thedescription above, the fifth lens L5 more preferably satisfies, forexample, at least one of conditional expressions given below:

Nd5<1.6  (24)

Nd5<1.55  (24-1)

1.45<Nd5<1.6  (24-2)

1.48<Nd5<1.58  (24-3)

1.50<Nd5<1.58  (24-4)

When the refractive index of the material of the sixth lens L6 withrespect to the d-line is taken as Nd6, the Nd6 is preferably greaterthan 1.50. This allows the power of the sixth lens L6 to be increasedeasily, whereby lateral chromatic aberration may be corrected easily.The Nd6 is more preferably greater than 1.55, further preferably greaterthan 1.58. Further, Nd6 is preferably smaller than 1.89. This allows therefractive index of the material of the sixth lens L6 with respect tothe d-line to be made relative low, whereby the cost of the sixth lensL6 may be suppressed easily. The Nd6 is more preferably smaller than1.86, more preferably smaller than 1.70, further preferably smaller than1.68 and still further preferably smaller than 1.65. From thedescription above, the sixth lens L6 more preferably satisfies, forexample, at least one of conditional expressions given below:

Nd6<1.89  (25)

Nd6<1.86  (25-1)

1.50<Nd6<1.70  (25-2)

1.55<Nd6<1.68  (25-3)

1.58<Nd6<1.65  (25-4)

Preferably, the object side surface of the first lens L1 is a convexsurface. As the first lens L1 is a negative lens, if the object sidesurface is a convex surface, the first lens L1 is a meniscus lens.Formation of the first lens L1 as a meniscus lens with a convex surfaceon the object side allows distortion to be corrected easily.

Preferably, the image side surface of the first lens L1 is a concavesurface. This allows the angle of view to be increased easily.

Preferably, the object side surface of the second lens L2 is a convexsurface. This allows the power of the second lens L2 to be increasedeasily, whereby astigmatism may be corrected easily.

Preferably, the image side surface of the second lens L2 is a convexsurface. This allows the power of the second lens L2 to be increasedeasily, whereby astigmatism may be corrected easily.

Preferably, the second lens L2 is a biconvex lens. This allows the powerof the second lens L2 to be increased easily, whereby astigmatism may becorrected easily.

Preferably, the second lens L2 is formed such that the absolute value ofthe radius of curvature of the object side surface is greater than thatof the image side surface. This allows distortion to be correctedeasily.

Preferably, the object side surface of the third lens L3 is a concavesurface. This allows the power of the third lens L3 to be increasedeasily, whereby longitudinal chromatic aberration may be correctedeasily.

Preferably, the image side surface of the third lens L3 is a concavesurface. This allows the power of the third lens L3 to be increasedeasily, whereby longitudinal chromatic aberration may be correctedeasily.

Preferably, the third lens L3 is a biconcave lens. This allows the powerof the third lens L3 to be increased easily, whereby longitudinalchromatic aberration may be corrected easily.

The third lens L3 may be formed such that the absolute value of theradius of curvature of the object side surface is smaller than that ofthe image side surface. This allows astigmatism to be corrected easily.

The third lens L3 may be formed such that the absolute value of theradius of curvature of the object side surface is greater than that ofthe image side surface. This allows longitudinal aberration to becorrected easily in cooperation of the third lens L3 and the fourth lensL4.

Preferably, the object side surface of the fourth lens L4 is a convexsurface. This allows the power of the fourth lens L4 to be increasedeasily, whereby longitudinal aberration may be corrected easily incooperation of the third lens L3 and the fourth lens L4.

Preferably, the image side surface of the fourth lens L4 is a convexsurface. This allows astigmatism to be corrected easily.

Preferably, the fourth lens L4 is a biconvex lens. This allows the powerof the fourth lens L4 to be increased easily, whereby longitudinalaberration may be corrected easily in cooperation of the third lens L3and the fourth lens L4.

Preferably, the object side surface of the fifth lens L5 is a convexsurface. This allows the power of the fifth lens L5 to be increasedeasily, whereby the angle of a peripheral ray incident on the imagesensor may be prevented easily from increasing and shading may beprevented easily.

The image side surface of the fifth lens L5 may be a convex surface or aplane surface. Formation of the image side surface of the fifth lens L5in a convex surface or a plane surface allows the angle of a peripheralray incident on the image sensor to be prevented more easily fromincreasing in comparison with a case in which the image side surface ofthe fifth lens L5 is formed as a concave surface, whereby shading may beprevented easily.

The image side surface of the fifth lens L5 may be a concave surface.Formation of the image side surface of the fifth lens L5 as a concavesurface allows field curvature to be corrected easily.

The fifth lens L5 may be a biconvex lens or a plano-convex lens with aconvex surface on the object side. Formation of the fifth lens L5 as abiconvex lens or a plano-convex lens with a convex surface on the objectside allows the power of the fifth lens L5 to be increased easily,whereby the angle of a peripheral ray incident on the image sensor maybe prevented easily from increasing and shading may be prevented easily.

The fifth lens L5 may be a meniscus lens with a convex surface on theobject side. Formation of the fifth lens L5 as a meniscus lens with aconvex surface on the object side allows field curvature to be correctedeasily.

Preferably, the object side surface of the sixth lens L6 is a concavesurface. This allows the power of the sixth lens L6 to be increasedeasily, whereby lateral chromatic aberration image corrected easily.

The image side surface of the sixth lens L6 may be a convex surface or aplane surface. Formation of the image side surface of the sixth lens L6as a convex surface or a plane surface allows the angle of a peripheralray incident on the image sensor to be prevented easily from increasing.

The image side surface of the sixth lens L6 may be a concave surface.Formation of the image side surface of the sixth lens L6 as a concavesurface allows field curvature and distortion to be corrected easily.

The sixth lens L6 may be a negative meniscus lens with a concave surfaceon the object side or a plano-concave lens. Formation of the sixth lensL6 as a negative meniscus lens with a concave surface on the object sideor a plano-concave lens allows the angle of a peripheral ray incident onthe image sensor to be prevented easily from increasing.

The sixth lens L6 may be a biconcave lens. Formation of the sixth lensL6 as a biconcave lens allows lateral chromatic aberration to becorrected easily and field curvature to be corrected easily.

Preferably, the absolute value of the radius of curvature of the objectside surface of the sixth lens L6 is smaller than that of the image sidesurface. This allows the angle of a peripheral ray incident on the imagesensor to be prevented easily from increasing.

Each of the first lens L1 to the sixth lens L6 may have an asphericalsurface on either one of the sides. This allows satisfactory correctionof various types of aberrations to be made easily.

Preferably, the object side surface of the third lens L3 is anaspherical surface. The object side surface of the third lens L3 may beformed in a shape having a negative power near the optical axis and astronger negative power at the end of the effective diameter incomparison with that near the optical axis. Formation of the object sidesurface of the third lens L3 in such a shape allows satisfactorycorrection of spherical aberration to be made easily.

The object side surface of the third lens L3 may have an asphericalshape having a positive power near the optical axis and a negative powerat the end of the effective diameter. Formation of the object sidesurface of the third lens L3 in such a shape allows satisfactorycorrection of spherical aberration to be made easily.

Preferably, the image side surface of the third lens L3 is an asphericalsurface. Preferably, the image side surface of the third lens L3 has ashape having a negative power near the optical axis and a weakernegative power at the end of the effective diameter in comparison withthat near the optical axis. Formation of the image side surface of thethird lens L3 in such a shape allows the lens system to be downsizedeasily or satisfactory correction of astigmatism and coma aberration tobe made easily.

Preferably, the object side surface of the fourth lens L4 is anaspherical surface. Preferably, the object side surface of the fourthlens L4 has a shape having a positive power near the optical axis and aweaker positive power at the end of the effective diameter in comparisonwith that near the optical axis. Formation of the object side surface ofthe fourth lens L4 in such a shape allows satisfactory correction ofspherical aberration to be made easily.

Preferably, the image side surface of the fourth lens L4 is anaspherical surface. Preferably, the image side surface of the fourthlens L4 has a shape having a positive power near the optical axis and astronger positive power at the end of the effective diameter incomparison with that near the optical axis. Formation of the image sidesurface of the fourth lens L4 in such a shape allows satisfactorycorrection of astigmatism to be made easily.

Preferably, the object side surface of the fifth lens L5 is anaspherical surface. Preferably, the object side surface of the fifthlens L5 has a shape having a positive power near the optical axis and aweaker positive power at the end of the effective diameter in comparisonwith that near the optical axis. Formation of the object side surface ofthe fifth lens L5 in such a shape allows satisfactory correction ofspherical aberration and astigmatism to be made easily.

Preferably, the image side surface of the fifth lens L5 is an asphericalsurface. Preferably, the image side surface of the fifth lens L5 has ashape having a positive power near the optical axis and a weakerpositive power at the end of the effective diameter in comparison withthat near the optical axis. Formation of the image side surface of thefifth lens L5 in such a shape allows satisfactory correction ofspherical aberration and astigmatism to be made easily.

Preferably, the object side surface of the sixth lens L6 is anaspherical surface. Preferably, the object side surface of the sixthlens L6 has a shape having a negative power near the optical axis and astronger negative power at the end of the effective diameter incomparison with that near the optical axis. Formation of the object sidesurface of the sixth lens L6 in such a shape allows satisfactorycorrection of spherical aberration and astigmatism to be made easily.

Preferably, the image side surface of the sixth lens L6 is an asphericalsurface. The image side surface of the sixth lens L6 may have a shapehaving a positive power near the optical axis and a weaker positivepower at the end of the effective diameter in comparison with that nearthe optical axis. Formation of the image side surface of the sixth lensL6 in such a shape allows satisfactory correction of sphericalaberration and astigmatism to be made easily.

The term “effective diameter of a surface” as used herein refers to thediameter of a circle formed of outermost points (most remote points fromthe optical axis) in a diameter direction where all rays contributing toimaging intersect with the lens surface, and the term “end of theeffective diameter” as used herein refers to the outermost points. Forexample, if the lens system is used in combination with an image sensor,the effective diameter may be determined based on the imaging surface ofthe image sensor. For a system in which the imaging surface isrectangular and the optical axis of the system passes through theintersection of the two diagonal lines of the imaging surface, theeffective diameter may be determined by considering ½ of the diagonalline as the maximum image height.

The power at a point on a surface other than on the optical axis isdefined by considering a normal line of the surface passing through thepoint, and determining whether the intersection between the normal lineand the optical axis (hereinafter, the intersection between the normalline and the optical axis) is located on the object side or on the imageside in comparison with the intersection between the surface and theoptical axis (hereinafter, the intersection between the surface and theoptical axis). In the case in which the lens surface is an object sidesurface, if the intersection between the normal line and the opticalaxis is located on the image side of the intersection between thesurface and the optical axis, the power at the point is positive, whileif the intersection between the normal line and the optical axis islocated on the object side of the intersection between the surface andthe optical axis, the power at the point is negative. In the case inwhich the lens surface is an image side surface, if the intersectionbetween the normal line and the optical axis is located on the objectside of the intersection between the surface and the optical axis, thepower at the point is positive, while if the intersection between thenormal line and the optical axis is located on the image side of theintersection between the surface and the optical axis, the power at thepoint is negative.

In the example illustrated in FIG. 1, all of the lenses are singlelenses. In this way, all of the lenses of a lens system may benon-cemented lenses. For example, if the imaging lens is used as avehicle-mounted lens, high heat resistance and high environmentresistance are required for the lens system. If a cemented lens is used,a special cementing agent may possibly be used for enhancing the heatresistance and environment resistance depending on the conditions,resulting in high cost due to such processing for enhancing theenvironment resistance. In such a case, all of the first lens L1 to thesixth lens L6 may be single lenses.

But, mutual cementing of lenses allows axial misalignment between thelenses to be minimized, thereby contributing to secure favorableperformance Therefore, the lens system may be formed to include acemented lens if the cementing agent does not cause any problem. Forexample, the third lens L3 and the fourth lens L4 may be cemented or thefifth lens L5 and the sixth lens L6 may be cemented, or the two sets ofthe cemented lenses may be included in the lens system at the same time.

In the imaging lens 1 of the present invention, the aperture stop Stwhich is a stop that determines the F-number of the lens system ispreferably disposed on the object side of the image side surface of thefourth lens L4. This allows the aperture diameter of the first lens L1to be reduced easily, whereby the lens system may be downsized easily.For example, if the imaging lens 1 is used in a vehicle camera, only asmall portion of the lens is allowed to be exposed to the outside inorder not to impair the appearance. Further, the disposition of theaperture stop St on the object side of the image side surface of thefourth lens L4 allows the angle of a peripheral ray incident on theimage sensor to be prevented easily from increasing, whereby shading maybe prevented easily.

The aperture stop St is more preferably disposed on the object side ofthe image side surface of the third lens L3. This allows the aperturediameter of the first lens L1 to be further reduced easily. Further, theaperture stop St is preferably disposed on the image side of the objectside surface of the second lens L2. This allows the lens diameter of thefifth lens L5 to be reduced easily. In particular, the aperture stop Stis preferably disposed between the object side surface of the third lensL3 and the object side surface of the second lens L2. This allows thelens diameters of the first lens L1 to the fifth lens L5 to be balancedeasily, whereby the diameter of the entire lens may be downsized easily.

Preferably, the material of the first lens L1 is glass. For example, ina case in which the imaging lens 1 is used in severe environments suchas, for example, in a vehicle camera or in a surveillance camera, amaterial which is resistant to surface degradation by wind and rain,temperature change by direct sunlight, and chemicals, such as grease,detergent, and the like, that is, a material which is highly resistantto moistures, weathers, acids, chemicals, and the like is required forthe first lens L1 which is disposed on the most object side. Further,the use of a hard and less breakable material may sometimes be required.These requirements may be satisfied by the used of glass as the materialof the first lens L1. Further, transparent ceramics may be used as thematerial of the first lens L1.

In order to make a high environment resistant optical system, materialsof all of the lenses are preferably glass. For example, if the imaginglens 1 is used in a surveillance camera or in a vehicle camera, theoptical system may possibly be used under various conditions such as,for example, under a wide temperature range from a low temperature ofopen air in a cold weather region to a high temperature inside a vehiclein summer in a tropical region, or under high humidity. In order to makean optical system which is highly resistant to these conditions, thematerials of all of the lenses are preferably glass.

Preferably, the material of the second lens L2 is glass. The use ofglass for the second lens L2 allows the refractive index of the materialof the second lens L2 to be increased easily, whereby field curvaturemay be corrected easily.

Note that plastic may be used as the material of any of the first lensL1 to the sixth lens L6. Preferably, plastic is used, in particular, asthe material of any one of the third lens L3 to the sixth lens L6 or ofany combination of the lenses. In this way, if a lens made of plastic isformed as an aspherical lens, the aspherical lens may be producedinexpensively and highly accurately, so that various aberrations may becorrected satisfactorily, while suppressing the lens cost.

As for plastic materials, for example, acrylic, polyolefin materials,polycarbonate materials, epoxy resins, PET (Polyethylene Terephthalate),PES (Poly Ether Sulphone), and polyester materials may be used. Further,a so-called nanocomposite material which is a plastic mixed withparticles smaller than a wavelength of light may be used.

Depending on the intended use of the imaging lens 1, a filter thattransmits or reflects a specific wavelength region, such as an UVfilter, an IR filter, or the like, may be inserted between the lenssystem and the image sensor 5 or between each lens. Otherwise, a coatinghaving identical characteristics to those of the filter described abovemay be applied to a lens surface of any of the lenses. Further, amaterial that absorbs ultraviolet light, blue light, infrared light, orthe like may be used as the material of any of the lenses.

Note that a light beam passing the outside of the effective diameterbetween each lens may reach the image plane as stray light and maybecome a ghost. Therefore, a light shielding member that shields thestray light is preferably provided. The light shielding member may be,for example, an opaque coating material or an opaque plate materialapplied to a portion outside the effective diameter of a lens. The lightshielding member may be disposed between any of the lenses, as required.Otherwise, a something like a hood may be provided on the object side ofthe first lens L1 for shielding the stray light. FIG. 1 illustrates anexample in which shielding members 11 and 12 are provided outside theeffective diameters of the image side surfaces of the first lens L1 andthe third lens L3 respectively. Note that the place where the shieldingmember can be provided is not limited to the example shown in FIG. 1 andthe shielding member may be disposed on other lenses or between lenses.

Further, a member such as, for example, a stop that shields peripheralrays within a degree that causes no practical problem in relativeillumination may be disposed between each lens. Such a member mayimprove the image quality at a peripheral region of the imaging area.

The aforementioned preferable configurations may be combined in any wayand are preferably selected, as appropriate, according to thespecifications required for the imaging lens 1. Proper selection of apreferable configuration allows an optical system having moresatisfactory optical performance and being capable of meeting higherspecifications to be realized.

[Combination Examples of Conditional Expressions and their Operationsand Effects]

Here, in the present embodiment, four preferable configuration examplesconsidering the conditional expressions described above and theireffects will be described.

The first configuration example substantially consists of six lenses,composed of a first lens L1 having a negative refractive power, a secondlens L2 having a positive refractive power, a third lens L3 having anegative refractive power, a fourth lens L4 having a positive refractivepower, a fifth lens L5 having a positive refractive power, and a sixthlens L6 having a negative refractive power, disposed in order from theobject side, and satisfies the conditional expressions (1), (2), and(3-3) given below:

1.0<(Db12+D3)/f  (1)

f2/f<1.68  (2)

1.1<(R1f+R1r)/(R1f−R1r)<2.2  (3-3)

According to the first configuration example, the lens system isadvantageous for increasing the angle of view, excellent in correctingastigmatism and distortion satisfactorily, and may obtain a highresolution image from the center of the image to the periphery, whilebeing configured compact with a relatively small number of lenses of sixlenses.

The second configuration example substantially consists of six lenses,composed of a first lens L1 having a negative refractive power, a secondlens L2 having a positive refractive power, a third lens L3 having anegative refractive power, a fourth lens L4 having a positive refractivepower, a fifth lens L5 having a positive refractive power, and a sixthlens L6 having a negative refractive power, disposed in order from theobject side, and satisfies the conditional expressions (3-4), (4), (5)and (6) given below:

1.1<(R1f+R1r)/(R1f−R1r)<2.0  (3-4)

1.6<f3456/f  (4)

0.0<f4/f<2.45  (5)

νd6<30  (6)

According to the second configuration example, the lens system isadvantageous for increasing the angle of view and capable of ensuring along back focus and correcting chromatic aberration and sphericalaberration satisfactorily, while being configured compact with arelatively small number of lenses of six lenses.

The third configuration example substantially consists of six lenses,composed of a first lens L1 having a negative refractive power, a secondlens L2 having a positive refractive power, a third lens L3 having anegative refractive power, a fourth lens L4 having a positive refractivepower, a fifth lens L5 having a positive refractive power, and a sixthlens L6 having a negative refractive power, disposed in order from theobject side, and satisfies the conditional expressions (6) to (9) givenbelow:

0.38<Db12/f  (7)

f12/f<2.5  (8)

f5/f<5.0  (9)

νd6<30  (6)

According to the third configuration example, the lens system isexcellent in correcting astigmatism, distortion, and lateral chromaticaberration satisfactorily and may obtain a high resolution image fromthe center of the image to the periphery, while being configured compactwith a relatively small number of lenses of six lenses.

The fourth configuration example substantially consists of six lenses,composed of a first lens L1 having a negative refractive power, a secondlens L2 having a positive refractive power, a third lens L3 having anegative refractive power, a fourth lens L4 having a positive refractivepower, a fifth lens L5 having a positive refractive power, and a sixthlens L6 having a negative refractive power, disposed in order from theobject side, and satisfies the conditional expressions (10) to (12)given below:

−0.15<(R2f+R2r)/(R2f−R2r)  (10)

−2.5<(R5f+R5r)/(R5f−R5r)<−0.25  (11)

−4.0<(R6f+R6r)/(R6f−R6r)  (12)

According to the fourth configuration example, the lens system isexcellent in correcting spherical aberration, astigmatism, and lateralchromatic aberration satisfactorily and may obtain a high resolutionimage from the center of the image to the periphery, while beingconfigured compact with a relatively small number of lenses of sixlenses.

[Numerical Examples of Imaging Lens]

Next, numerical examples of the imaging lens of the present inventionwill be described. Lens cross-sectional views of imaging lenses ofExample 1 to Example 22 are shown in FIGS. 2 to 23 respectively. InFIGS. 2 to 23, the left side of the drawing is the object side and theright side is the image side, and the aperture stop St and the opticalmember PP are also indicated. The aperture stop St shown in each drawingdoes not represent the size or the shape but indicates the position onthe optical axis Z. In each Example, the symbols Ri and Di (i=1, 2,3, - - - ) in the lens cross-sectional view correspond to Ri and Di inthe lens data to be described herein below.

Tables 1 to 22 show lens data of imaging lenses of Examples 1 to 22respectively. Basic lens data are shown in the upper left of each table,various types of data are shown in the upper right, and the asphericalsurface data are shown in the bottom.

In the basic lens data, the Si column indicates i^(th) surface number inwhich a number i (i=1, 2, 3, - - - ) is given to each surface in aserially increasing manner toward the image side with the object sidesurface of the most object side constituent element being taken as thefirst surface. The Ri column indicates the radius of curvature of i^(th)surface and the Di column indicates the surface distance on the opticalaxis Z between i^(th) surface and (i+1)^(th) surface. The sign of theradius of curvature is positive if the surface shape is convex on theobject side and negative if it is convex on the image side. The Ndjcolumn indicates the refractive index of j^(th) optical element withrespect to the d-line (wavelength of 587.6 nm) in which a number j (j=1,2, 3, - - - ) is given to each optical element in a serially increasingmanner toward the image side and the νdj column indicates the Abbenumber of j^(th) optical element with respect to the d-line. Note thatthe basic lens data also include the aperture stop St and the opticalmember PP. The terms of (St) and (IMG) are included in the rows of thesurface number column corresponding to the aperture stop St and imageplane Sim respectively in addition to the surface numbers.

In the basic lens data, the mark * is attached to the surface number ofan aspherical surface and a numerical value of the paraxial radius ofcurvature is indicated as the radius of curvature of the asphericalsurface. The aspherical surface coefficient table indicates the surfacenumbers of aspherical surfaces and aspherical surface coefficients ofeach aspherical surface. The numerical value “E−n” (n: integer) in anaspherical surface coefficient refers to “×10 ^(−n)”. The asphericalsurface coefficients are the values of each of coefficients K and RB_(m)(m=3, 4, 5, - - - , and 10) in an aspherical surface expressionrepresented by a formula given below.

${Zd} = {\frac{C \times Y^{2}}{1 + \sqrt{1 - {K \times C^{2} \times Y^{2}}}} + {\sum\limits_{m}\; {{RB}_{m}Y^{m}}}}$

where:

Zd: depth of aspheric surface (length of vertical line from a point onthe aspheric surface at a height Y to a flat surface orthogonal to theoptical axis to which the aspherical surface vertex contacts)

Y: height (distance from the optical axis to lens surface)

C: paraxial curvature

K, RB_(m): aspherical surface coefficients (m=3, 4, 5, - - - , and 10).

In the various types of data, L(in Air) represents the distance on theoptical axis Z from the object side surface of the first lens L1 to theimage plane Sim (air equivalent length for the back focus portion), Bf(in Air) represents the distance on the optical axis from the image sidesurface of the most image side lens to the image plane Sim(corresponding to the back focus in terms of air equivalent length), frepresents the focal length of the entire system, f1 represents thefocal length of the first lens L1, f2 represents the focal length of thesecond lens L2, f3 represents the focal length of the third lens L3, f4represents the focal length of the fourth lens L4, f5 represents thefocal length of the fifth lens L5, f6 represents the focal length of thesixth lens L6, f12 represents the combined focal length of the firstlens L1 and the second lens L2, f56 represents the combined focal lengthof the fifth lens L5 and the sixth lens L6, and f3456 represents thecombined focal length of the third lens L3 to the sixth lens L6.

Tables shown herein indicate values rounded to a predetermined digit. Asfor the unit of each numerical value, “mm” is used for length. But, thisis only an example and other appropriate units may also be used, asoptical systems can be used by proportionally enlarged or reduced.

TABLE 1 Example 1 Basic Lens Data Si Ri Di Ndj vdj Glass  1 10.51660.80027 1.75500 52.3 S-YGH51  2 2.7793 2.47777  3 7.1182 3.00020 1.8040046.6 S-LAH65V  4 −5.8352 −0.10000  5(St) ∞ 1.18104  6 * −4.3129 0.700001.63360 23.6  7 * 6.5013 0.40004  8 * 6.2188 1.48887 1.53114 55.4  9 *−9.7747 0.22000 10 * 3.7636 2.40000 1.53114 55.4 11 * −9.9245 0.70000 12−8.5326 0.70000 1.84666 23.8 S-TIH53 13 ∞ 0.05000 14 ∞ 1.00000 1.5168064.2 15 ∞ 2.47155 16(IMG) ∞ Various Types of Data L(in Air) 17.1 Bf(inAir) 3.2 f 4.56 f1 −5.24 f2 4.45 f3 −3.99 f4 7.39 f5 5.47 f6 −10.08 f125.66 f56 8.46 f3456 15.11 Aspherical Surface Coefficient Si K RB3 RB4RB5 RB6  6 1.0000000E+00   1.5944206E−03 −2.6956458E−02 1.0285745E−02  8.0445005E−03  7 0.0000000E+00 −6.4237063E−03 −2.2133015E−024.6318394E−04   1.2358985E−02  8 1.0000000E+00   0.0000000E+00  1.0245133E−03 0.0000000E+00   0.0000000E+00  9 1.0000000E+00  0.0000000E+00   8.2044733E−04 0.0000000E+00   0.0000000E+00 100.0000000E+00   2.8404966E−03 −1.2699191E−02 6.0076873E−03−2.3047414E−03 11 1.0000000E+00   1.4811363E−02 −1.6431627E−021.2073124E−02 −3.9510643E−03 Si RB7 RB8 RB9 RB10  6 −5.3518994E−03  83972205E−04 0.0000000E+00   0.0000000E+00  7 −5.7988200E−03  6.9811630E−04 7.7273291E−05 −1.4400348E−05  8   0.0000000E+00  0.0000000E+00 0.0000000E+00   0.0000000E+00  9   0.0000000E+00  0.0000000E+00 0.0000000E+00   0.0000000E+00 10   6.1149115E−04−7.8965766E−05 0.0000000E+00   0.0000000E+00 11   4.9406085E−04  6.8508257E−06 0.0000000E+00   0.0000000E+00

TABLE 2 Example 2 Basic Lens Data Si Ri Di Ndj vdj Glass  1 16.00690.80007 1.58913 61.1 S-BAL35  2 2.7182 2.05730  3 10.3335 4.266491.80400 46.6 S-LAH65V  4 −5.1359 −0.10000  5(St) ∞ 1.50674  6 * −7.23300.75000 1.63360 23.6  7 * 3.8299 0.40000  8 * 4.9035 2.50000 1.5311455.4  9 * −10.3465 0.22000 10 * 3.4476 1.80006 1.53114 55.4 11 *−535.1310 0.70000 12 −16.6369 0.90008 1.84666 23.8 S-TIH53 13 ∞ 0.0500014 ∞ 1.00000 1.51680 64.2 15 ∞ 2.61461 16(IMG) ∞ Various Types of DataL(in Air) 19.1 Bf(in Air) 3.3 f 4.56 f1 −5.68 f2 4.87 f3 −3.85 f4 6.64f5 6.46 f6 −19.65 f12 6.05 f56 8.42 f3456 10.87 Aspherieal SurfaceCoefficient Si K RB3 RB4 RB5 RB6  6 1.0000000E+00   4.5799028E−03−3.7035867E−02 2.4720952E−03   1.7250243E−02  7 0.0000000E+00−6.6492821E−04 −4.2272515E−02 1.0027804E−02   9.1877043E−03  81.0000000E+00   0.0000000E+00 −3.5213113E−03 0.0000000E+00  0.0000000E+00  9 1.0000000E+00   0.0000000E+00 −3.4699256E−030.0000000E+00   0.0000000E+00 10 0.0000000E+00   6.8626524E−03−1.0977517E−02 3.7818998E−03 −7.8649204E−06 11 1.0000000E+00  2.3653613E−02 −2.4183039E−02 1.8627470E−02 −5.6266320E−03 Si RB7 RB8RB9 RB10  6 −9.0086453E−03 1.3915523E−03 0.0000000E+00   0.0000000E+00 7 −5.2056582E−03 6.7816127E−04 7.7273291E−05 −1.4400348E−05  8  0.0000000E+00 0.0000000E+00 0.0000000E+00   0.0000000E+00  9  0.0000000E+00 0.0000000E+00 0.0000000E+00   0.0000000E+00 10−3.3680932E−04 5.6035090E−05 0.0000000E+00   0.0000000E+00 11  4.5458382E−04 4.3434307E−05 0.0000000E+00   0.0000000E+00

TABLE 3 Example 3 Basic Lens Data Si Ri Di Ndj vdj Glass  1 13.96610.80018 1.58913 61.1 S-BAL35  2 2.8193 2.56969  3 8.6404 3.00002 1.8348142.7 S-LAH55V  4 −5.8697 −0.10000  5(St) ∞ 1.26279  6 * −5.4410 0.700001.63360 23.6  7 * 4.0553 0.40002  8 * 5.0298 2.26274 1.53114 55.4  9 *−6.1814 0.19103 10 * 4.1583 1.89836 1.53114 55.4 11 * −36.0531 0.6209612 −13.0947 0.80000 1.84666 23.8 S-TIH53 13 ∞ 0.05000 14 ∞ 1.000001.51680 64.2 15 ∞ 2.55039 16(IMG) ∞ Various Types of Data L(in Air) 17.7Bf(in Air) 3.3 f 4.56 f1 −6.16 f2 4.62 f3 −3.57 f4 5.61 f5 7.14 f6−15.47 f12 5.64 f56 10.95 f3456 11.58 Aspherical Surface Coefficient SiK RB3 RB4 RB5 RB6  6 1.0000000E+00   4.1205753E−03 −4.1033987E−021.1257979E−02   1.1541728E−02  7 0.0000000E+00 −4.0196132E−03−3.6346745E−02 5.3976885E−03   1.1965596E−02  8 1.0000000E+00  0.0000000E+00 −7.4793868E−04 0.0000000E+00   0.0000000E+00  91.0000000E+00   0.0000000E+00   3.4687943E−03 0.0000000E+00  0.0000000E+00 10 0.0000000E+00   1.8101083E−03 −5.5738647E−033.8824010E−03 −1.6419975E−03 11 1.0000000E+00   1.3765815E−02−1.8868158E−02 1.3515484E−02 −4.2771349E−03 Si RB7 RB8 RB9 RB10  6−7.1107134E−03   1.1363212E−03 0.0000000E+00   0.0000000E+00  7−6.1242733E−03   7.7604204E−04 7.7273291E−05 −1.4400348E−05  8  0.0000000E+00   0.0000000E+00 0.0000000E+00   0.0000000E+00  9  0.0000000E+00   0.0000000E+00 0.0000000E+00   0.0000000E+00 10  3.0038730E−04 −1.9493057E−05 0.0000000E+00   0.0000000E+00 11  5.1301486E−04   7.5647934E−06 0.0000000E+00   0.0000000E+00

TABLE 4 Example 4 Basic Lens Data Si Ri Di Ndj vdj Glass  1 18.99730.90000 1.75500 52.3 S-YGH51  2 3.7393 2.79978  3 8.3494 3.80004 1.8348142.7 S-LAH55V  4 −7.7315 0.20000  5(St) ∞ 0.80018  6 * −4.7516 1.270181.64200 22.0  7* 166.8241 2.00000 1.53391 55.9  8 * −3.8513 0.22002  9 *8.0730 2.94120 1.53391 55.9 10 * −4.5384 1.10002 1.64200 22.0 11 29.99780.10000 12 ∞ 1.00000 1.51680 64.2 13 ∞ 2.76917 14(IMG) ∞ 0.00000 VariousTypes of Data L(in Air) 19.6 Bf(in Air) 3.5 f 4.80 f1 −6.33 f2 5.39 f3−7.18 f4 7.08 f5 5.92 f6 −6.06 f12 7.08 f56 36.63 f3456 12.37 AsphericalSurface Coefficient Si K RB3 RB4 RB5 RB6  6   0.0000000E+00−3.8594121E−04 −4.3518574E−03   3.1073592E−04   6.9542519E−05  7−3.1504000E+00 −1.3887809E−02 −8.8411041E−03   5.3214188E−05−4.2423141E−04  8   1.0000000E+00   0.0000000E+00   1.5011525E−03  0.0000000E+00   0.0000000E+00  9   0.0000000E+00 −2.0232873E−03  1.3362412E−03 −2.8778408E−03   1.5063517E−03 10   0.0000000E+00−1.9079291E−02   3.4003563E−02 −1.8357425E−02   6.1921395E−03 Si RB7 RB8RB9 RB10  6   7.2939330E−06 3.7845918E−05   1.9301682E−05 −1.2575834E−05 7   1.2052383E−03 5.1109027E−04 −3.0708602E−04   2.7449176E−05  8  0.0000000E+00 0.0000000E+00   0.0000000E+00   0.0000000E+00  9−3.7590158E−04 5.0019241E−05   0.0000000E+00   0.0000000E+00 10−1.3201558E−03 6.2702021E−05   0.0000000E+00   0.0000000E+00

TABLE 5 Example 5 Basic Lens Data Si Ri Di Ndj vdj Glass  1 18.99550.90000 1.75500 52.3 S-YGH51  2 3.6551 2.79976  3 7.9209 3.80004 1.8348142.7 S-LAH55V  4 −7.8101 0.20000  5( St) ∞ 0.80010  6 * −4.8193 1.270501.63360 23.6  7 * 131.9058 2.00000 1.53114 55.4  8 * −4.2259 0.22002 9 * 6.9079 2.85495 1.53114 55.4 10 * −3.8300 1.10002 1.63360 23.6 1129.9979 1.00000 12 ∞ 1.00000 1.51680 64.2 13 ∞ 1.86903 14(IMG) ∞ VariousTypes of Data L(in Air) 19.5 Bf(in Air) 3.5 f 4.82 f1 −6.15 f2 5.29 f3−7.31 f4 7.75 f5 5.11 f6 −5.29 f12 6.92 f56 27.29 f3456 12.93 AsphericalSurface Coefficient Si K RB3 RB4 RB5 RB6  6   0.0000000E+00−9.5471146E−04 −2.9092858E−03 −5.5037828E−04 2.9282939E−04  7−3.1504000E+00 −1.6904817E−02 −9.9659199E−03 −1.2175942E−037.3771743E−04  8   1.0000000E+00   0.0000000E+00   5.6374772E−04  0.0000000E+00 0.0000000E+00  9   0.0000000E+00 −9.0740695E−04−9.2729786E−04 −2.1192793E−03 1.4498944E−03 10   0.0000000E+00−2.4351784E−02   3.6806225E−02 −1.8341991E−02 5.8708690E−03 Si RB7 RB8RB9 RB10  6   1.6364959E−04 4.2920124E−06 −2.0140100E−05 −6.5075978E−07 7   1.3364769E−03 4.0298565E−04 −3.4438961E−04   3.9939404E−05  8  0.0000000E+00 0.0000000E+00   0.0000000E+00   0.0000000E+00  9−4.1873995E−04 5.7840005E−05   0.0000000E+00   0.0000000E+00 10−1.1283225E−03 3.9903254E−05   0.0000000E+00   0.0000000E+00

TABLE 6 Example 6 Basic Lens Data Si Ri Di Ndj vdj Glass  1 20.00021.50000 1.77250 49.6 S-LAH66  2 3.3452 1.90000  3 7.1051 4.10001 1.8348142.7 S-LAH55V  4 −6.8837 0.85720  5 * 6.1290 0.75000 1.63360 23.6  6 *2.2200 0.80000  7(St) ∞ 0.20000  8 * −80.2669 1.80000 1.53391 55.9  9 *−4.7000 0.22000 10 * 4.2000 2.00000 1.53391 55.9 11 −324.0776 0.75000 12−12.8347 0.80001 1.63360 23.6 13 ∞ 2.50000 14 ∞ 1.00000 1.51680 64.2 15∞ 0.10729 16(IMG) ∞ Various Types of Data L(in Air) 18.94 Bf(in Air)3.27 f 4.91 f1 −5.41 f2 4.83 f3 −5.94 f4 9.27 f5 7.78 f6 −20.26 f12 7.24f56 10.86 f3456 10.52 Aspherical Surface Coefficient Si K RB3 RB4 RB5RB6  5   0.0000000E+00   3.4169763E−03 −3.1714421E−02   1.8670079E−03  7.8590908E−04  6   0.0000000E+00 −4.3147650E−04 −2.3504837E−02−2.6845101E−03   2.7407621E−03  8 −3.1504000E+00 −3.9379912E−03  2.0273355E−02 −5.3380333E−03 −6.2987865E−04  9   1.0000000E+00  0.0000000E+00 −8.8712382E−04   0.0000000E+00   0.0000000E+00 10  0.0000000E+00 −6.8965972E−04 −3.1259434E−03   4.8497297E−04  3.8438976E−05 Si RB7 RB8 RB9 RB10  5 6.1665728E−04   1.1908016E−04−1.8895778E−04   2.6719614E−05  6 1.2946184E−03 −6.3138359E−04  7.7273291E−05 −1.4400348E−05  8 4.1133278E−04   5.5085265E−05−4.2957010E−05   4.5328967E−06  9 0.0000000E+00   0.0000000E+00  0.0000000E+00   0.0000000E+00 10 3.0339594E−05 −1.2363358E−05  0.0000000E+00   0.0000000E+00

TABLE 7 Example 7 Basic Lens Data Si Ri Di Ndj vdj Glass  1 20.42201.50000 1.77250 49.6 S-LAH66  2 3.1972 1.90000  3 6.6724 4.10001 1.8040046.6 S-LAH65V  4 −6.4391 −0.10000  5(St) ∞ 1.28207  6 * 17.0428 0.750001.63360 23.6  7 * 3.1446 0.58006  8 * −14.9007 1.80000 1.53391 55.9  9 *−4.7000 0.22000 10 * 4.2000 2.00000 1.53391 55.9 11 −11.4732 0.75000 12−7.9596 0.80001 1.63360 23.6 13 ∞ 3.00000 14 ∞ 0.40000 131680 64.2 15 ∞0.10325 16(IMG) ∞ Various Types of Data L(in Air) 18.9 Bf(in Air) 3.4 f4.88 f1 −5.10 f2 4.74 f3 −6.22 f4 12.11 f5 6.03 f6 −12.56 f12 7.01 f569.14 f3456 11.23 Aspherical Surface Coefficient Si K RB3 RB4 RB5 RB6  6  0.0000000E+00   2.3480524E−03 −3.1516276E−02   5.1931369E−03  1.2600088E−03  7   0.0000000E+00   2.9895114E−03 −2.4702888E−02  2.3815738E−03   1.6772979E−03  8 −3.1504000E+00   9.0075685E−04  1.4312690E−02 −1.2929751E−03 −1.4129453E−03  9   1.0000000E+00  0.0000000E+00 −9.9493303E−04   0.0000000E+00   0.0000000E+00 10  0.0000000E+00 −2.9819624E−04 −4.0093663E−03   4.6496668E−04  4.5356297E−04 Si RB7 RB8 RB9 RB10  6 −1.0176262E−03   5.3581872E−052.5287130E−04 −7.7816986E−05  7   7.5498206E−05 −2.0936224E−047.7273291E−05 −1.4400348E−05  8 −2.7112350E−04   1.5299819E−041.1064123E−04 −3.2827752E−05  9   0.0000000E+00   0.0000000E+000.0000000E+00   0.0000000E+00 10 −1.4998712E−04   1.4513250E−050.0000000E+00   0.0000000E+00

TABLE 8 Example 8 Basic Lens Data Si Ri Di Ndj vdj Glass  1 18.97460.90003 1.75500 52.3 S-YGH51  2 3.6500 2.65514  3 8.7989 4.52000 1.8348142.7 S-LAH55V  4 −7.3926 0.20003  5(St) ∞ 0.80000  6 * −25.8058 0.800001.61400 25.5  7 * 3.7433 0.47001  8 * 31.2579 1.70000 1.51103 55.2  9 *−4.1022 0.22000 10 * 4.7307 1.70000 1.51103 55.2 11 −97.9996 1.1000012 * −11.6006 1.10000 1.61400 25.5 13 ∞ 0.10000 14 ∞ 1.00000 1.5168064.2 15 ∞ 2.65493 16(IMG) ∞ Various Types of Data L(in Air) 19.6 Bf(inAir) 3.4 f 4.79 f1 −6.14 f2 5.51 f3 −5.27 f4 7.21 f5 8.88 f6 −18.89 f127.21 f56 13.76 f3456 12.12 Aspherical Surface Coefficient Si K RB3 RB4RB5 RB6  6   0.0000000E+00 −1.4612717E−03 −2.9209012E−02   1.2578868E−02−7,6511154E−03  7   0.0000000E+00 −1.3381019E−02 −5.2170358E−03−8.3305447E−03   3.2679761E−03  8 −3.1504000E+00 −7.3062824E−03  1.6503448E−02 −2.1360089E−03 −2.1348492E−03  9   1.00000001E+00  0.0000000E4−00   2.2496694E−03   0.0000000E+00   0.0000000E+00 10  0.0000000E+00   2.4619901E−03 −4.7700202E−04 −1.8454994E−03  1.5712771E−03 12   0.0000000E+00 −1.6503018E−02   2.0090816E−02−1.5092578E−02   6.0489538E−03 Si RB7 RB8 RB9 RB10  6   2.0287432E−03  1.3492612E−03 −7.6244262E−04   9.4359405E−05  7   6.8167341E−04−4.0244547E−04   7.7273291E−05 −1.4400348E−05  8 −2.1950312E−04  3.1275634E−04   5.8970861E−05 −3.0108743E−05  9   0.0000000E+00  0.0000000E+00   0.0000000E+00   0.0000000E+00 10 −5.1806677E−04  6.8150196E−05   0.0000000E+00   0.0000000E+00 12 −1.3016842E−03  1.1171704E−04   0.0000000E+00   0.0000000E+00

TABLE 9 Example 9 Basic Lens Data Si Ri Di Ndj vdj Glass  1 21.00020.90000 1.75500 52.3 S-YGH51  2 3.3130 235374  3 10.6418 4.16000 1.8348142.7 S-LAH55V  4 −6.5668 0.20000  5(St) ∞ 0.81929  6 * 28.6024 0.800001.63360 23.6  7 * 3.7998 0.48000  8 * ∞ 1.70000 1.53114 55.4  9 *−5.2000 0.22000 10 * 4.8000 1.80000 1.53114 55.4 11 −98.1358 1.1000012 * −11.9493 1.10000 1.63360 23.6 13 ∞ 0.10000 14 ∞ 1.00000 1.5168064.2 15 ∞ 2.92185 16(IMG) ∞ Various Types of Data L(in Air) 19.5 Bf(inAir) 3.7 f 4.75 f1 −5.33 f2 5.47 f3 −7.00 f4 9.79 f5 8.67 f6 −18.86 f127.48 f56 13.16 f3456 13.88 Aspherical Surface Coefficient Si K RB3 RB4RB5 RB6  6   0.0000000E+00   3. 716172E−03 −2.8547855E−02  1.1839608E−02 −8.1818448E−03  7   0.0000000E+00 −2.4361437E−03−4.4602744E−03 −83558468E−03   2.8136265E−03  8 −3.1504000E+00−2.5683041E−03   2.0721562E−02 −2.0523015E−03 −2.2067308E−03  9  1.0000000E+00   0.0000000E+00   1.3690215E−03   0.0000009E+00  0.0000000E+00 10   0.0000000E+00   1.1080794E−03 −1.3678436E−03−1.2793983E−03   1.2773071E−03 12   0.0000000E+00 −1.1985746E−02  1.5686163E−02 −1.4711635E−02   6.3978343E−03 Si RB7 RB8 RB9 RB10  6  1.9816399E−03   1.4539959E−03 −8.0185450E−04   1.0737593E−04  7  5.9662522E−04 −3.1800576E−04   7.7273291E−05 −1.4400348E−05  8−1.1891214E−04   2.8785780E−04   1.5946221E−05 −1.6044540E−05  9  0.0000000E+00   0.0000000E+00   0.0000000E+00   0.0000000E+00 10−3.8225750E−04   4.1791568E−05   0.0000000E+00   0.0000000E+00 12−14966523E−03   1.3554089E−04   0.0000000E+00   0.0000000E+00

TABLE 10 Example 10 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 18.7618 0.80027 1.58913 61.1 S-BAL35 L(in Air) 18.1  2 2.74092.54268 Bf(in Air) 3.9  3 8.5466 3.00020 1.83481 42.7 S-LAH55V f   4.72 4 −5.7946 −0.10000 f1   −5.55  5(St) ∞ 1.19089 f2   4.57  6 * −4.34270.70000 1.63360 23.6 f3   −3.96  7 * 6.2952 0.40004 f4   8.55  8 *5.8772 1.72103 1.49100 57.6 f5   5.93  9 * −13.2944 0.22000 f6   −20.4910 * 3.7588 2.40000 1.49100 57.6 f12  5.63 11 * −10.1934 0.70000 f56 7.39 12 −14.7046 0.70000 1.84666 23.8 S-TIH53 f3456 13.19 13 −98.60310.05000 14 ∞ 1.00000 1.51680 64.2 15 ∞ 3.16500 16(IMG) ∞ AsphericalSurface Coefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00   1.7387647E−03−2.6936635E−02 1.0314801E−02   8.0652395E−03 7 0.0000000E+00−6.4215337E−03 −2.2108331E−02 4.4215554E−04   1.2337135E−02 81.0000000E+00   0.0000000E+00   1.3310999E−03 0.0000000E+00  0.0000000E+00 9 1.0000000E+00   0.0000000E+00   8.7386537E−040.0000000E+00   0.0000000E+00 10 0.0000000E+00   2.6557595E−03−1.2984995E−02 5.9062280E−03 −2.3197350E−03 11 1.0000000E+00  1.4403434E−02 −1.6569304E−02 1.1971202E−02 −3.9646144E−03 Si RB7 RB8RB9 RB10 6 −5.3427611E−03   8.4192896E−04 0.0000000E+00   0.0000000E+007 −5.8089304E−03   6.9882512E−04 7.7273291E−05 −1.4400348E−05 8  0.0000000E+00   0.0000000E+00 0.0000000E+00   0.0000000E+00 9  0.0000000E+00   0.0000000E+00 0.0000000E+00   0.0000000E+00 10  6.1141960E−04 −9.0084740E−05 0.0000000E+00   0.0000000E+00 11  4.8708591E−04 −3.1543440E−06 0.0000000E+00   0.0000000E+00

TABLE 11 Example 11 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 21.0391 0.90000 1.75500 52.3 S-YGH51 L(in Air) 19.7  2 3.66943.64233 Bf(in Air) 3.8  3 8.1091 2.50000 1.82080 42.7 M−TAFD51 f   4.74 4 −8.7420 0.25000 f1   −6.02  5(St) ∞ 0.99982 f2   5.49  6 * −5.03540.80000 1.63360 23.6 f3   −5.89  7 * 15.3194 0.48000 f4   6.02  8 *10.8015 2.20000 1.53114 55.4 f5   7.40  9 * −4.2249 0.22000 f6   −7.2210 * 16.3997 2.50006 1.53114 55.4 f12  6.94 11 −4.8924 0.60000 f56 65.40 12 * −4.5756 0.80000 1.63360 23.6 f3456 13.08 13 ∞ 0.10000 14 ∞1.00000 1.51680 64.2 15 ∞ 3.07284 16(IMG) Aspherical Surface CoefficientSi K RB3 RB4 RB5 RB6 6 1.0000000E+00 −2.7025319E−04 43732506E−051.0233093E−05 −5.5613762E−07 7 0.0000000E+00 −2.2400561E−042.1549486E−03 −3.3231863E−03     3.4611213E−03 8 1.0000000E+00  1.7287109E−04 2.9809328E−05 6.1412992E−06   1.7054721E−06 91.0000000E+00   0.0000000E+00 1.6242595E−03 0.0000000E+00  0.0000000E+00 10 0.0000000E+00 −4.6940721E−04 1.9593801E−04−2.1283444E−03     9.4854193E−04 12 0.0000000E+00 −1.0583237E−021.4889178E−02 −9.1115910E−03     3.2282397E−03 Si RB7 RB8 RB9 RB10 6−9.3846047E−07 −2.6518652E−07   2.8230855E−08   8.2234130E−08 7−1.3665550E−03 9.7590836E−05 7.7273291E−05 −1.4400348E−05 8  6.0205957E−07 2.2812878E−07 8.3937261E−08   2.6945473E−08 9  0.0000000E+00 0.0000000E+00 0.0000000E+00   0.0000000E+00 10−2.4922676E−04 1.8086987E−05 0.0000000E+00   0.0000000E+00 12−5.8394923E−04 4.1756415E−05 0.0000000E+00   0.0000000E+00

TABLE 12 Example 12 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 22.0071 0.90000 1.75500 52.3 S-YGH51 L(in Air) 19.6  2 3.29002.80000 Bf(in Air) 3.7  3 10.3224 3.95000 1.83481 42.7 S-LAH55V f   4.53 4 −6.5970 0.47156 f1   −5.23  5(St) ∞ 0.80000 f2   5.39  6 * −5.04650.70000 1.63360 23.6 f3   −5.45  7 * 11.5372 0.35000 f4   6.23  8 *10.0061 1.62546 1.53114 55.4 f5   9.15  9 * −4.6653 0.22000 f6   −11.7610 * 7.2441 2.46926 1.53114 55.4 f12  7.03 11 * −13.0240 0.80000 f56 23.95 12 * −7.4535 0.80000 1.63360 23.6 f3456 13.76 13 ∞ 0.05000 14 ∞1.00000 1.51680 64.2 15 ∞ 2.96217 16(IMG) ∞ Aspherical SurfaceCoefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00   3.3275778E−03−2.1239013E−02   9.7236180E−03   1.7346277E−04 7 0.0000000E+00−1.8882858E−03 −1.1748227E−02 −3.3806754E−03   8.7317522E−03 81.0000000E+00   0.0000000E+00 −6.5613214E−04   0.0000000E+00  0.0000000E+00 9 1.0000000E+00   0.0000000E+00   2.6140040E−03  0.0000000E+00   0.0000000E+00 10 0.0000000E+00   3.7508081E−03−3.2907857E−03 −9.4596393E−04   1.4788590E−03 11 1.0000000E+00  7.7315834E−03 −1.4044560E−02   4.0061304E−03 −1.0805812E−03 120.0000000E+00 −1.7239987E−02   2.4841308E−02 −2.8571859E−02  1.2187721E−02 Si RB7 RB8 RB9 RB10 6 −7.0859685E−04 1.0102240E−040.0000000E+00   0.0000000E+00 7 −3.4178785E−03 3.4133697E−047.7273291E−05 −1.4400348E−05 8   0.0000000E+00 0.0000000E+000.0000000E+00   0.0000000E+00 9   0.0000000E+00 0.0000000E+000.0000000E+00   0.0000000E+00 10 −4.0416375E−04 6.3956718E−050.0000000E+00   0.0000000E+00 11   3.7206662E−04 −2.5460806E−05  0.0000000E+00   0.0000000E+00 12 −2.0959138E−03 5.1106690E−050.0000000E+00   0.0000000E+00

TABLE 13 Example 13 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 −22.0052 0.90000 1.58913 61.1 S-BAL35 L(in Air) 19.1  23.5922 2.27409 Bf(in Air) 3.7  3 8.0363 3.85000 1.83481 42.7 S-LAH55Vf   4.69  4 −7.3552 −0.10000 f1   −5.17  5(St) ∞ 1.31179 f2   5.19  6 *−732.6867 0.70000 1.63360 23.6 f3   −5.37  7 * 3.4190 0.60000 f4   6.40 8 * 11.0368 1.94421 1.53114 55.4 f5   8.93  9 * −4.6112 0.18000 f6  −14.12 10 * 6.3978 2.35000 1.53114 55.4 f12  7.52 11 * −16.0027 0.70000f56  17.94 12 * −8.9468 0.70000 1.63360 23.6 f3456 11.42 13 ∞ 0.05000 14∞ 1.00000 1.51680 64.2 15 ∞ 2.95348 16(IMG) ∞ Aspherical SurfaceCoefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00   1.5400572E−02−5.6085666E−02   1.6207147E−02   3.0740710E−03 7 0.0000000E+00  4.2760434E−03 −3.5861708E−02 −4.1717543E−03   1.5729546E−02 81.0000000E+00   0.0000000E+00   3.0081458E−03   0.0000000E+00  0.0000000E+00 9 1.0000000E+00   0.0000000E+00   6.1762046E−03  0.0000000E+00   0.0000000E+00 10 0.0000000E+00   1.3367745E−03  7.8618033E−04   4.0502635E−03 −2.6650290E−03 11 1.0000000E+00  6.0625583E−03 −1.3742771E−02   1.0660019E−02 −3.9508099E−03 120.0000000E+00 −1.5730696E−02   2.7415285E−02 −2.7875870E−02  1.4653916E−02 Si RB7 RB8 RB9 RB10 6 −2.2465912E−03   3.1729655E−040.0000000E+00   0.0000000E+00 7 −6.1925687E−03   6.8377284E−047.7273291E−05 −1.4400348E−05 8   0.0000000E+00   0.0000000E+000.0000000E+00   0.0000000E+00 9   0.0000000E+00   0.0000000E+000.0000000E+00   0.0000000E+00 10   7.2962556E−04 −7.0745818E−050.0000000E+00   0.0000000E+00 11   8.6294777E−04 −6.8442808E−050.0000000E+00   0.0000000E+00 12 −3.8805195E−03   4.0964540E−040.0000000E+00   0.0000000E+00

TABLE 14 Example 14 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 17.8427 0.90000 1.75500 52.3 S-YGH51 L(in Air) 19.6  2 3.19862.80000 Bf(in Air) 3.8  3 10.8159 3.95014 1.83481 42.7 S-LAH55V f   4.56 4 −6.3103 0.43900 f1   −5.30  5(St) ∞ 0.80000 f2   5.33  6 * −3.99640.70000 1.63360 23.6 f3   −4.82  7 * 13.8006 0.35000 f4   5.44  8 *6.1171 1.82069 1.53114 55.4 f5   11.73  9 * −4.9051 0.22000 f6   −14.3410 * 6.6200 2.22065 1.53114 55.4 f12  6.78 11 * −93.2879 0.80002 f56 35.23 12 * −9.0830 0.80000 1.63360 23.6 f3456 14.47 13 ∞ 0.10000 14 ∞1.00000 1.51680 64.2 15 ∞ 2.99271 16(IMG) ∞ Aspherical SurfaceCoefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00   1.3550773E−03−1.0638484E−02   5.4137498E−03 1.7537152E−03 7 0.0000000E+00−8.8747945E−04 −1.1233833E−02 −1.1709011E−04 5.4727636E−03 81.0000000E+00   0.0000000E+00 −3.5135584E−03   0.0000000E+000.0000000E+00 9 1.0000000E+00   0.0000000E+00   1.4421204E−03  0.0000000E+00 0.0000000E+00 10 0.0000000E+00   5.4927580E−04−2.9072605E−03 −2.0969180E−03 2.1888796E−03 11 1.0000000E+00  1.5471059E−03 −8.9210973E−03 −2.8509277E−04 5.5901329E−04 120.0000000E+00 −8.9215636E−03   1.2334487E−02 −2.0494752E−029.4610135E−03 Si RB7 RB8 RB9 RB10 6 −1.2549560E−03   1.8509594E−040.0000000E+00 0.0000000E+00 7 −2.2965144E−03   1.9290639E−047.7273291E−05 −1.4400348E−05   8   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 9   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 10 −5.3242468E−04   7.9237522E−050.0000000E+00 0.0000000E+00 11   2.1191392E−04 −4.8004228E−050.0000000E+00 0.0000000E+00 12 −1.6279602E−03 −1.4297309E−050.0000000E+00 0.0000000E+00

TABLE 15 Example 15 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 19.9694 0.90000 1.75500 52.3 S-YGH51 L(in Air) 19.5  2 3.15722.70954 Bf(in Air) 3.4  3 10.2261 3.35000 1.80400 46.6 S-LAH65V f   4.54 4 −6.2078 −0.10000 f1   −5.08  5(St) ∞ 1.46335 f2   5.28  6 * −46.53220.70000 1.63360 23.6 f3   −5.18  7 * 3.5526 0.60000 f4   6.04  8 *5.2381 2.45993 1.53114 55.4 f5   8.52  9 * −6.9230 0.18000 f6   −11.6910 * 6.1309 2.35000 1.53114 55.4 f12  7.30 11 * −14.9534 0.72002 f56 19.80 12 * −7.4084 0.70000 1.63360 23.6 f3456 12.24 13 ∞ 0.05000 14 ∞1.00000 1.51680 64.2 15 ∞ 2.72831 16(IMG) ∞ Aspherical SurfaceCoefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00   7.3750729E−03−4.4875234E−02   8.7711092E−03   8.0823039E−03 7 0.0000000E+00−2.3059247E−03 −3.4442646E−02 −1.5084118E−03   1.4113649E−02 81.0000000E+00   0.0000000E+00 −4.3404856E−04   0.0000000E+00  0.0000000E+00 9 1.0000000E+00   0.0000000E+00   2.3409448E−03  0.0000000E+00   0.0000000E+00 10 0.0000000E+00   2.8051830E−03−8.1637011E−03   7.6343195E−03 −4.0411693E−03 11 1.0000000E+00  4.2705048E−03 −1.0783004E−02   6.8119171E−03 −3.0809802E−03 120.0000000E+00 −1.4673569E−02   1.7277556E−02 −1.4997680E−02  4.5033208E−03 Si RB7 RB8 RB9 RB10 6 −4.0228541E−03   5.2434158E−040.0000000E+00 0.0000000E+00 7 −5.8142280E−03   6.3610471E−047.7273291E−05 −1.4400348E−05   8   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 9   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 10   9.9029413E−04 −7.8841258E−050.0000000E+00 0.0000000E+00 11   7.3972472E−04 −3.2625399E−050.0000000E+00 0.0000000E+00 12 −2.0173478E−04 −8.0004660E−050.0000000E+00 0.0000000E+00

TABLE 16 Example 16 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 19.9928 0.90000 1.75500 52.3 S-YGH51 L(in Air) 19.5  2 3.39882.96789 Bf(in Air) 3.6  3 10.3382 3.55001 1.83481 42.7 S-LAH55V f   4.44 4 −6.9730 −0.10000 f1   −5.55  5(St) ∞ 1.34748 f2   5.50  6 * −99.99980.69500 1.63360 23.6 f3   −5.50  7 * 3.6176 0.50000 f4   6.31  8 *13.4972 2.10000 1.53114 55.4 f5   8.88  9 * −4.2196 0.18000 f6   −12.3310 * 6.5268 2.25176 1.53114 55.4 f12  7.30 11 * −14.9943 0.80671 f56 20.61 12 * −7.8118 0.70000 1.63360 23.6 f3456 11.39 13 ∞ 0.05000 14 ∞1.00000 1.51680 64.2 15 ∞ 2.85953 16(IMG) ∞ Aspherical SurfaceCoefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00   1.5964733E−02−6.3086125E−02   2.4196158E−02 −2.6192020E−03 7 0.0000000E+00−1.6724999E−03 −2.9726092E−02 −1.1728886E−02   2.0269519E−02 81.0000000E+00   0.0000000E+00   3.8856805E−03   0.0000000E+00  0.0000000E+00 9 1.0000000E+00   0.0000000E+00   7.7692601E−03  0.0000000E+00   0.0000000E+00 10 0.0000000E+00   1.7651962E−03−1.3601092E−03   5.7383139E−03 −3.5339743E−03 11 1.0000000E+00  7.1038403E−03 −2.1476480E−02   1.3957046E−02 −5.3293377E−03 120.0000000E+00 −2.5235960E−02   3.5222796E−02 −3.5415311E−02  1.7481625E−02 Si RB7 RB8 RB9 RB10 6 −8.7978365E−05   1.0847608E−050.0000000E+00 0.0000000E+00 7 −7.4422027E−03   8.2539200E−047.7273291E−05 −1.4400348E−05   8   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 9   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 10   9.0078730E−04 −7.6610790E−050.0000000E+00 0.0000000E+00 11   1.1965807E−03 −9.9875420E−050.0000000E+00 0.0000000E+00 12 −4.3801543E−03   4.4249238E−040.0000000E+00 0.0000000E+00

TABLE 17 Example 17 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 20.5999 0.90000 1.75500 52.3 S-YGH51 L(in Air) 19.5  2 3.41352.97891 Bf(in Air) 3.5  3 10.4494 3.55001 1.83481 42.7 S-LAH55V f   4.44 4 −6.9969 −0.10000 f1   −5.54  5(St) ∞ 1.38000 f2   5.53  6 * −99.99590.70000 1.63360 23.6 f3   −5.62  7 * 3.7003 0.50000 f4   6.35  8 *12.9967 2.10000 1.53114 55.4 f5   8.93  9 * −4.2950 0.18000 f6   −12.1610 * 6.5412 2.30007 1.53114 55.4 f12  7.37 11 * −15.1304 0.80000 f56 21.20 12 * −7.7038 0.70000 1.63360 23.6 f3456 11.44 13 ∞ 0.05000 14 ∞1.00000 1.51680 64.2 15 ∞ 2.79563 16(IMG) ∞ Aspherical SurfaceCoefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00   1.6061852E−02−6.2717845E−02   2.4211204E−02 −2.6727796E−03 7 0.0000000E+00−1.0607487E−03 −2.9719159E−02 −1.1799257E−02   2.0257194E−02 81.0000000E+00   0.0000000E+00   3.7246836E−03   0.0000000E+00  0.0000000E+00 9 1.0000000E+00   0.0000000E+00   7.6273398E−03  0.0000000E+00   0.0000000E+00 10 0.0000000E+00   1.7176991E−03−1.4137417E−03   5.7144066E−03 −3.5246447E−03 11 1.0000000E+00  6.8467346E−03 −2.1413364E−02   1.4012145E−02 −5.3197703E−03 120.0000000E+00 −2.5525786E−02   3.5200550E−02 −3.5386728E−02  1.7506886E−02 Si RB7 RB8 RB9 RB10 6 −1.0258428E−04   1.5926879E−050.0000000E+00 0.0000000E+00 7 −7.4407587E−03   8.2354787E−047.7273291E−05 −1.4400348E−05   8   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 9   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 10   9.0484107E−04 −7.8172878E−050.0000000E+00 0.0000000E+00 11   1.1947228E−03 −1.0179250E−040.0000000E+00 0.0000000E+00 12 −4.3749011E−03   4.3743798E−040.0000000E+00 0.0000000E+00

TABLE 18 Example 18 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 22.2198 0.90000 1.75500 52.3 S-YGH51 L(in Air) 19.5  2 3.48273.01295 Bf(in Air) 3.5  3 11.0245 3.30172 1.83481 42.7 S-LAH55V f   4.52 4 −7.0023 −0.10000 f1   −5.59  5(St) ∞ 1.59969 f2   5.60  6 * −87.58140.70000 1.63360 23.6 f3   −5.70  7 * 3.7803 0.50000 f4   6.34  8 *13.0414 2.10000 1.53114 55.4 f5   9.01  9 * −4.2848 0.18006 f6   −12.0010 * 6.4737 2.30000 1.53114 55.4 f12  7.61 11 * −16.1211 0.80000 f56 22.08 12 * −7.6061 0.70000 1.63360 23.6 f3456 11.42 13 ∞ 0.05000 14 ∞1.00000 1.51680 64.2 15 ∞ 2.79196 16(IMG) ∞ Aspherical SurfaceCoefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00 9.9762013E−03−5.0617743E−02   1.2087883E−02   3.3123807E−03 7 0.0000000E+002.0911130E−03 −3.3193103E−02 −8.6964808E−03   1.8040275E−02 81.0000000E+00 0.0000000E+00   4.3975160E−03   0.0000000E+00  0.0000000E+00 9 1.0000000E+00 0.0000000E+00   8.1894562E−03  0.0000000E+00   0.0000000E+00 10 0.0000000E+00 3.7917895E−03−5.4151220E−03   1.1106302E−02 −6.2778849E−03 11 1.0000000E+008.1460301E−03 −1.7750119E−02   7.7508743E−03   5.2388028E−04 120.0000000E+00 2.3295404E−03 −1.4356519E−03 −1.2013294E−02  1.1529120E−02 Si RB7 RB8 RB9 RB10 6 −1.7779198E−03   2.3683976E−040.0000000E+00 0.0000000E+00 7 −6.6867488E−03   7.3109468E−047.7273291E−05 −1.4400348E−05   8   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 9   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 10   1.5904445E−03 −1.4769377E−040.0000000E+00 0.0000000E+00 11 −1.0044380E−03   1.9295855E−040.0000000E+00 0.0000000E+00 12 −4.3554316E−03   5.8727703E−040.0000000E+00 0.0000000E+00

TABLE 19 Example 19 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 21.8269 0.90000 1.75500 52.3 S-YGH51 L(in Air) 19.5  2 3.50763.29083 Bf(in Air) 3.5  3 10.3982 3.20000 1.83481 42.7 S-LAH55V f   4.52 4 −7.4325 −0.10000 f1   −5.65  5(St) ∞ 1.41204 f2   5.65  6 * −46.22320.70000 1.63360 23.6 f3   −6.06  7 * 4.2133 0.50000 f4   6.35  8 *12.9394 2.10000 1.53114 55.4 f5   9.55  9 * −4.3026 0.18001 f6   −10.9710 * 6.8639 2.30000 1.53114 55.4 f12  7.44 11 * −17.1785 0.80000 f56 31.49 12 * −6.9481 0.70000 1.63360 23.6 f3456 12.57 13 ∞ 0.05000 14 ∞1.00000 1.51680 64.2 15 ∞ 2.78096 16(IMG) ∞ Aspherical SurfaceCoefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00   4.2268845E−04−2.9049413E−02 −3.2913100E−03   7.9843926E−03 7 0.0000000E+00−5.7328594E−03 −1.7099312E−02 −1.6654641E−02   1.8011679E−02 81.0000000E+00   0.0000000E+00   5.0181260E−03   0.0000000E+00  0.0000000E+00 9 1.0000000E+00   0.0000000E+00   1.0122333E−02  0.0000000E+00   0.0000000E+00 10 0.0000000E+00   6.1616635E−03−8.1441051E−03   1.2772099E−02 −6.6635126E−03 11 1.0000000E+00  1.6664907E−03 −1.0318695E−02   9.0519784E−04   2.7390426E−03 120.0000000E+00 −5.6860954E−03   7.0027198E−05 −4.9227644E−03  3.6117474E−03 Si RB7 RB8 RB9 RB10 6 −2.0196475E−03   1.4281330E−040.0000000E+00 0.0000000E+00 7 −5.6815260E−03   5.2836476E−047.7273291E−05 −1.4400348E−05   8   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 9   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 10   1.5385749E−03 −1.3074054E−040.0000000E+00 0.0000000E+00 11 −1.2610988E−03   1.8479877E−040.0000000E+00 0.0000000E+00 12 −1.2860910E−03   1.7939766E−040.0000000E+00 0.0000000E+00

TABLE 20 Example 20 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 21.6446 0.90000 1.71300 53.9 S-LAL8 L(in Air) 19.5  2 3.65443.49698 Bf(in Air) 3.4  3 11.7770 3.20000 1.88300 40.8 S-LAH58 f   4.52 4 −7.8662 −0.10000 f1   −6.30  5(St) ∞ 1.31830 f2   5.78  6 * −100.01130.70000 1.63360 23.6 f3   −5.80  7 * 3.8260 0.50000 f4   6.23  8 *12.8023 2.10000 1.53114 55.4 f5   9.42  9 * −4.2043 0.18000 f6   −11.2710 * 6.9458 2.30000 1.53114 55.4 f12  7.27 11 * −15.8253 0.80000 f56 28.42 12 * −7.1423 0.70000 1.63360 23.6 f3456 12.27 13 ∞ 0.05000 14 ∞1.00000 1.51680 64.2 15 ∞ 2.68157 16(IMG) ∞ Aspherical SurfaceCoefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00   2.5444635E−03−3.6862842E−02 −1.9252974E−03   9.3904882E−03 7 0.0000000E+00−5.3573830E−03 −2.6237183E−02 −1.3483361E−02   1.7887641E−02 81.0000000E+00   0.0000000E+00   3.8640978E−03   0.0000000E+00  0.0000000E+00 9 1.0000000E+00   0.0000000E+00   1.0410642E−02  0.0000000E+00   0.0000000E+00 10 0.0000000E+00   6.4337695E−03−7.1379361E−03   1.1877928E−02 −6.3239661E−03 11 1.0000000E+00−3.5602284E−04 −3.8071905E−03 −1.9214366E−03   3.1669223E−03 120.0000000E+00 −8.0726145E−03   4.4389040E−03 −4.3988120E−03  2.1650222E−03 Si RB7 RB8 RB9 RB10 6 −2.8052481E−03   2.6400828E−040.0000000E+00 0.0000000E+00 7 −5.9332666E−03   5.7389730E−047.7273291E−05 −1.4400348E−05   8   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 9   0.0000000E+00   0.0000000E+000.0000000E+00 0.0000000E+00 10   1.4586679E−03 −1.3168741E−040.0000000E+00 0.0000000E+00 11 −1.2081021E−03   1.4524116E−040.0000000E+00 0.0000000E+00 12 −7.6617337E−04   1.0781079E−040.0000000E+00 0.0000000E+00

TABLE 21 Example 21 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 13.4203 0.80007 1.51680 64.2 BSC7 L(in Air) 18.4  2 2.88703.20320 Bf(in Air) 3.0  3 10.2034 3.01378 1.75500 52.3 S-YGH51 f   4.50 4 −5.7466 −0.10000 f1   −7.31  5(St) ∞ 1.54302 f2   5.30  6 * 60.00170.70000 1.65245 21.0 f3   −6.08  7 * 3.7034 0.40000 f4   9.59  8 *−211.7981 2.13459 1.53391 55.9 f5   7.42  9 * −5.0156 0.22019 f6  −26.76 10 * 5.0361 1.80006 1.53391 55.9 f12  6.19 11 * −16.2368 0.70000f56  9.69 12 −13.0232 0.99893 1.95906 17.5 S-NPH3 f3456 9.58 13 −27.43210.05000 14 ∞ 1.00000 1.51680 64.2 15 ∞ 2.25153 16(IMG) ∞ AsphericalSurface Coefficient Si K RB3 RB4 RB5 RB6 6 1.0000000E+00   1.2878298E−03−4.4820866E−02 9.0853543E−04   1.6627778E−02 7 0.0000000E+00−5.5555060E−03 −5.0736482E−02 8.9755869E−03   9.5387803E−03 81.0000000E+00   0.0000000E+00 −5.9617656E−03 0.0000000E+00  0.0000000E+00 9 1.0000000E+00   0.0000000E+00 −2.5775088E−030.0000000E+00   0.0000000E+00 10 0.0000000E+00   4.6202603E−03−8.7374220E−03 4.0301986E−03 −3.8536766E−04 11 1.0000000E+00  1.8260699E−02 −2.2655862E−02 1.7210593E−02 −5.3966401E−03 Si RB7 RB8RB9 RB10 6 −8.1674354E−03 1.1919922E−03 0.0000000E+00 0.0000000E+00 7−4.8796621E−03 5.6855664E−04 7.7273291E−05 −1.4400348E−05   8  0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 9  0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 10−3.1454359E−04 7.5151608E−05 0.0000000E+00 0.0000000E+00 11  5.4674760E−04 2.9568436E−05 0.0000000E+00 0.0000000E+00

TABLE 22 Example 22 Basic Lens Data Various Si Ri Di Ndj νdj Glass Typesof Data  1 16.1014 0.80007 1.58913 61.1 S-BAL35 L(in Air) 19.2  2 2.73712.34988 Bf(in Air) 3.5  3 10.2741 3.83172 1.80400 46.6 S-LAH65V f   4.56 4 −5.3340 −0.10000 f1   −5.72  5(St) ∞ 1.55801 f2   4.90  6 * −7.35160.73000 1.63360 23.6 f3   −3.77  7 * 3.6792 0.40000 f4   6.38  8 *4.9118 2.50000 1.53114 55.4 f5   6.98  9 * −8.9758 0.22000 f6   −25.4310 * 3.5868 1.80006 1.53114 55.4 f12  6.06 11 * 90.3795 0.70004 f56 8.78 12 −18.1276 0.90008 1.92286 18.9 S-NPH2 f3456 10.66 13 −81.50390.05000 14 ∞ 1.00000 1.51680 64.2 15 ∞ 2.79683 16(IMG) ∞ AsphericalSurface Coefficient Si K RB3 RB4 RB5 RB6 6 1.1000000E+00   4.4247020E−03−3.6958885E−02 2.5377590E−03   1.7254895E−02 7 0.0000000E+00−7.6991589E−04 −4.1947461E−02 1.0146805E−02   9.2008516E−03 81.0000000E+00   0.0000000E+00 −3.5445245E−03 0.0000000E+00  0.0000000E+00 9 1.0000000E+00   0.0000000E+00 −3.5492937E−030.0000000E+00   0.0000000E+00 10 0.0000000E+00   6.3789919E−03−1.1034078E−02 3.9142583E−03 −9.1010433E−06 11 1.0000000E+00  2.1991053E−02 −2.3984367E−02 1.8684442E−02 −5.7115591E−03 Si RB7 RB8RB9 RB10 6 −9.0220339E−03 1.3839890E−03 0.0000000E+00 0.0000000E+00 7−5.2117516E−03 6.7274328E−04 7.7273291E−05 −1.4400348E−05   8  0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 9  0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 10−3.7636959E−04 6.3309783E−05 0.0000000E+00 0.0000000E+00 11  4.7732116E−04 4.0067628E−05 0.0000000E+00 0.0000000E+00

In the imaging lenses of Examples 1 to 3, 10, 21, and 22, the first lensL1, the second lens L2, and the sixth lens L6 are glass sphericallenses, while the third lens L3 to the fifth lens L5 are plastic lenses.In the imaging lenses of Examples 4 to 9 and 11 to 20, the first lens L1and the second lens L2 are glass spherical lenses, while the third lensL3 to the sixth lens L6 are plastic lenses. In the basic lens data, aglass name is indicated in the glass column for a glass lens, butanother type of glass may be used if it has comparable characteristicsin refractive index, Abbe number, and the like.

For example, S-YGH51 that appears in the glass column of the basic lensdata is S-YGH51 by OHARA, but glass materials of other manufactureshaving comparable characteristics may be used. For example, instead ofS-YGH51, TAC6 by HOYA, K-LASKN1 by SUMITA, and H-LAK53A by CDGM GlassCo., Ltd. may be used. Likewise, instead of S-LAH66 by OHARA, TAF1 andM-TAF1 by HOYA, K-LAFK50 and K-LASFN7 by SUMITA, H-ZLAFSOB by CDGM GlassCo., Ltd., N-LAF34 by SCHOTT, and the like may be used. Instead ofS-LAH55V by OHARA, TAFDSF by HOYA, K-LASFN8 by SUMITA, H-ZLAF55A by CDGMGlass Co., Ltd., and the like may be used. Instead of S-BAL35 by OHARA,BACDS by HOYA, K-SK5 by SUMITA, H-ZK3 by CDGM Glass Co., Ltd., and thelike may be used. Instead of S-LAH65V by OHARA, TAF3 by HOYA, K-LASFN6by SUMITA, H-ZLAF50D, and the like may be used. Instead of BSC7 by HOYA,S-BSL7 by OHARA, K-BK7 by SUMITA, H-K9L by CDGM Glass Co., Ltd., N-BK7by SCHOTT, and the like may be used. Instead of S-LAL8 by OHARA, LAC8 byHOYA, K-LAK8 by SUMITA, H-LAK7A by CDGM Glass Co., Ltd., and the likemay be used. Instead of M-TAFD51 by HOYA, Q-LASFH59S by HIKARI GLASS andthe like may be used. Instead of S-LAH58 by OHARA, TAFD30 by HOYA,K-LASFN17 by SUMITA, H-ZLAF68 by CDGM Glass Co., Ltd., and the like maybe used.

Values of the imaging lenses of Examples 1 to 22 corresponding to theconditional expressions (1) to (11) are shown in Table 23 and thosecorresponding to the conditional expressions (12) to (21) are shown inTable 24. In Examples 1 to 22, the d-line is used as the referencewavelength and Tables 23 and 24 show the values at the referencewavelength.

TABLE 23 Conditional Expression (1) (3) (4) (10) (11) Db12 + D3 (2)R1f + R1r f3456 (5) (6) (7) (8) (9) R2f + R2r R5f + R5r Example f f2/fR1f − R1r f f4/f νd6 Db12/f f12/f f5/f R2f − R2r R5f − R5r 1 1.20 0.981.72 3.32 1.62 23.78 0.54 1.24 1.20 0.10 −0.45 2 1.39 1.07 1.41 2.381.46 23.78 0.45 1.33 1.42 0.34 −0.99 3 1.22 1.01 1.51 2.54 1.23 23.780.56 1.24 1.56 0.19 −0.39 4 1.38 1.12 1.49 2.58 1.48 22.00 0.58 1.481.23 0.04 0.28 5 1.37 1.10 1.48 2.68 1.61 23.61 0.58 1.44 1.06 0.01 0.296 1.22 0.98 1.40 2.14 1.89 23.61 0.39 1.48 1.59 0.02 −0.97 7 1.23 0.971.37 2.30 2.48 23.61 0.39 1.44 1.23 0.02 −0.46 8 1.50 1.15 1.48 2.531.51 25.30 0.55 1.51 1.85 0.09 −0.91 9 1.41 1.15 1.37 2.92 2.06 23.610.54 1.57 1.82 0.24 −0.91 10 1.18 0.97 1.34 2.80 1.81 23.78 0.54 1.191.26 0.19 −0.46 11 1.30 1.16 1.42 2.76 1.27 23.61 0.77 1.46 1.56 −0.040.54 12 1.49 1.19 1.35 3.04 1.38 23.61 0.62 1.55 2.02 0.22 −0.29 13 1.301.11 0.72 2.43 1.36 23.61 0.48 1.60 1.90 0.04 −0.43 14 1.48 1.17 1.443.18 1.19 23.61 0.61 1.49 2.57 0.26 −0.87 15 1.33 1.16 1.38 2.69 1.3323.61 0.60 1.61 1.87 0.24 −0.42 16 1.47 1.24 1.41 2.56 1.42 23.61 0.671.64 2.00 0.19 −0.39 17 1.47 1.25 1.40 2.58 1.43 23.61 0.67 1.66 2.010.20 −0.40 18 1.40 1.24 1.37 2.53 1.40 23.61 0.67 1.69 2.00 0.22 −0.4319 1.44 1.25 1.38 2.78 1.40 23.61 0.73 1.64 2.11 0.17 −0.43 20 1.48 1.281.41 2.71 1.38 23.61 0.77 1.61 2.08 0.20 −0.39 21 1.38 1.18 1.55 2.132.13 17.50 0.71 1.38 1.65 0.28 −0.53 22 1.36 1.08 1.41 2.34 1.40 18.900.52 1.33 1.53 0.32 −1.08

TABLE 24 Conditional Expression (12) (15) (16) (21) R6f + R6r (13) (14)f12 D3 + Db23 (17) (18) (19) (20) Db23 Example R6f − R6r R1/f f1/f f3456f f1/f2 νd3 f4/f5 f56/f f 1 −1.00 2.31 −1.15 0.37 0.90 −1.18 23.61 1.351.86 0.24 2 −1.00 3.51 −1.25 0.56 1.24 −1.17 23.61 1.03 1.85 0.31 3−1.00 3.06 −1.35 0.49 0.91 −1.33 23.61 0.79 2.40 0.25 4 −0.74 3.96 −1.320.57 1.00 −1.17 22.00 1.20 7.63 0.21 5 −0.77 3.94 −1.28 0.54 1.00 −1.1623.61 1.52 5.66 0.21 6 −1.00 4.07 −1.10 0.69 1.16 −1.12 23.61 1.19 2.210.33 7 −1.00 4.18 −1.05 0.62 1.08 −1.08 23.61 2.01 1.87 0.24 8 −1.003.96 −1.28 0.60 1.15 −1.11 25.50 0.81 2.87 0.21 9 −1.00 4.42 −1.12 0.541.09 −0.97 23.61 1.13 2.77 0.21 10 −1.35 3.98 −1.18 0.43 0.87 −1.2123.61 1.44 1.57 0.23 11 −1.00 4.44 −1.27 0.53 0.79 −1.10 23.61 0.8113.80 0.26 12 −1.00 4.86 −1.16 0.51 1.15 −0.97 23.61 0.68 5.29 0.28 13−1.00 −4.69 −1.10 0.66 1.08 −1.00 23.61 0.72 3.82 0.26 14 −1.00 3.92−1.16 0.47 1.14 −0.99 23.61 0.46 7.73 0.27 15 −1.00 4.40 −1.12 0.60 1.04−0.96 23.61 0.71 4.36 0.30 16 −1.00 4.50 −1.25 0.64 1.08 −1.01 23.610.71 4.64 0.28 17 −1.00 4.64 −1.25 0.64 1.09 −1.00 23.61 0.71 4.77 0.2918 −1.00 4.92 −1.24 0.67 1.06 −1.00 23.61 0.70 4.89 0.33 19 −1.00 4.83−1.25 0.59 1.00 −1.00 23.61 0.66 6.96 0.29 20 −1.00 4.79 −1.39 0.59 0.98−1.09 23.61 0.66 6.28 0.27 21 −2.81 2.99 −1.63 0.65 0.99 −1.38 21.001.29 2.16 0.32 22 −1.57 3.53 −1.26 0.57 1.16 −1.17 23.61 0.91 1.92 0.32

Aberration diagrams of each of imaging lenses according to Examples 1 to22 are shown in FIGS. 24 to 45. In each of FIGS. 24 to 45, diagrams ofspherical aberration, astigmatism, distortion, and lateral chromaticaberration are shown from the left for each Example. The Fno. in thespherical aberration diagram represents F-number and w in the otheraberration diagrams represents half angle of view when an object atinfinity is in focus. Each aberration diagram illustrates aberrationwith the d-line (wavelength 587.56 nm) as the reference wavelength, butthe spherical aberration diagram also illustrates aberrations withrespect to the F-line (wavelength 486.13 nm), the C-line (wavelength656.27 nm), the s-line (wavelength 852.11 nm), and offence against thesine condition, while the lateral chromatic aberration diagramillustrates aberrations with respect to the F-line, the C-line, and thes-line.

As is known from the data shown above, the imaging lenses of Examples 1to 22 can be made compact and inexpensive. Furthermore, they have smallF-numbers in the range of 1.60 to 2.00, wide angles with maximum totalangles of view in the range from 65° to 80°, and high opticalperformance with aberrations, including chromatic aberration, beingcorrected satisfactorily. These imaging lenses may be favorably used inapplications, including but not limited to surveillance cameras, vehiclecameras for imaging the front side, the lateral sides, the rear side,and the like.

[Embodiments of Imaging Apparatus]

FIG. 46 illustrates, as a usage example, a car 100 equipped with imagingapparatuses having imaging lenses of the present embodiment. In FIG. 46,the car 100 includes an out-vehicle camera 101 for imaging the dead areaof the lateral side on the passenger side, an out-vehicle camera 102 forimaging the dead area on the rear side, and an in-vehicle camera 103,attached to the rear side of the rearview mirror, for imaging the samevisual field range as that of the driver. Each of the out-vehiclecameras 101 and 102, and the in-vehicle camera 103 is an imagingapparatus according the present embodiment and includes an imaging lensaccording to an embodiment of the present invention and an image sensorthat converts an optical image formed by the imaging lens to anelectrical signal.

As the imaging lens according to an embodiment of the present inventionhas aforementioned advantages, the out-vehicle cameras 101 and 102, andthe in-vehicle camera 103 may be made compact and inexpensive, yethaving a wide angle and being capable of obtaining a good image, withoutimpairing the appearance of the car.

Note that an image obtained by an imaging apparatus equipped with animaging lens according to an embodiment of the present invention may bedisplayed on a cell phone. For example, there may be a case in which animaging apparatus equipped with an imaging lens according to anembodiment of the present invention is installed on a car as a vehiclecamera, then the rear side or around the car is imaged by the vehiclecamera, and an image obtained by the imaging is displayed on a displaydevice. In such a case, if the car is equipped with a car navigationsystem (hereinafter, “car-navigation”), the image obtained by theimaging may be displayed on the display device of the car-navigation,while if the car is not equipped with a car-navigation, a dedicateddisplay device, for example, a liquid crystal display needs to beinstalled in the car. But, the display device is expensive. In themeantime, recent cell phones are equipped with high performance displaydevices capable of displaying motion pictures, browsing the Web, and thelike. The use of a cell phone as the display device of a vehicle cameramay eliminate the need to install a dedicated display device for a carwithout a car-navigation, thereby allowing the vehicle camera to beinstalled inexpensively.

Here, the image obtained by the vehicle camera may be transmitted to thecell phone by wire using a cable or the like, or by wireless such asinfrared communication or the like. Further, an arrangement may beadopted in which an image of the vehicle camera may be displayedautomatically on the display device of the cell phone when, for example,the gear of the car is shifted to the rear position or a turn signal isgiven by associating the cell phone with the operation state of the car.

As for the display device for displaying an image of the vehicle camera,not only the cell phone but also a handheld terminal, such as a PDA, atablet terminal, a small personal computer, or a small portablecar-navigation may be used.

Further, a cell phone (including a smartphone) equipped with an imaginglens of the present invention may be fixed to a car and used as avehicle camera. As recent smartphones have processing powers comparableto those of personal computers, a camera of a cell phone may be used inthe same manner as a vehicle camera by fixing the cell phone, forexample, to a dashboard of a car and orienting the camera to the frontside. As an application of the smartphone, a function that recognizes awhite line or a road sign and issues a warning may be provided. Further,the smartphone may be used as a warning system in which the camera isdirected to the driver and a warning is issued when the driver is drowsyor inattentive. Still further, the smartphone may be associated with acar and used as a part of the wheel steering system of the car. As a caris exposed to high and low temperature environments, a vehicle camera isrequired to have strict environment resistance. In a case in which animaging lens of the present invention is installed in a cell phone, thecell phone is brought outside the car with the driver other than duringthe driving, so that the environment resistance of the imaging lens maybe relaxed, whereby a vehicle-installed system may be introducedinexpensively.

So far, the present invention has been described by way of embodimentsand Examples, but it should be understood that the present invention isnot limited to the embodiments and Examples described above, and variouschanges and modifications may be made. For example, values of radius ofcurvature, surface distance, refractive index, Abbe number, andaspherical surface coefficient of each lens are not limited to thoseshown in each Numerical Example and may take other values.

Note that all of the lenses in the Examples described above are formedof a uniform material, but a gradient index lens may be used. Further,some of the Examples described above include an aspherical refractivelens, but a diffractive optical element may be formed on one or moresurfaces.

In the embodiment of the imaging apparatus, the description has beenmade of a case in which the present invention is applied to a vehiclecamera by illustrating a drawing thereof, but the present invention isnot limited to such application and may also be applied, for example, tocameras of portable terminals, surveillance cameras, and the like.

1. An imaging lens, consisting of six lenses, composed of a first lenshaving a negative refractive power, a second lens having a positiverefractive power, a third lens having a negative refractive power, afourth lens having a positive refractive power, a fifth lens having apositive refractive power, and a sixth lens having a negative refractivepower, disposed in order from the object side, wherein the imaging lenssatisfies conditional expressions given below:1.1<(R1f+R1r)/(R1f−R1r)<2.0  (3-4)0.0<f4/f<2.45  (5)19<νd6<30  (6-8)−2.5<(R5f+R5r)/(R5f−R5r)<−0.25  (11) where R1f: paraxial radius ofcurvature of the object side surface of the first lens, R1r: paraxialradius of curvature of the image side surface of the first lens, f4:focal length of the fourth lens, f: focal length of the entire system,and νd6: Abbe number of the material of the sixth lens with respect tothe d-line, R5f: paraxial radius of curvature of the object side surfaceof the fifth lens, and R5r: paraxial radius of curvature of the imageside surface of the fifth lens.
 2. The imaging lens as claimed in claim1, wherein the imaging lens satisfies a conditional expression givenbelow:20<νd6<30  (6-7).
 3. The imaging lens as claimed in claim 1, wherein theimaging lens satisfies a conditional expression given below:19<νd6<26  (6-5).
 4. The imaging lens as claimed in claim 1, wherein theimaging lens satisfies a conditional expression given below:Nd6<1.89  (25) where Nd6: refractive index of the material of the sixthlens with respect to the d-line.
 5. The imaging lens as claimed in claim4, wherein the imaging lens satisfies a conditional expression givenbelow:Nd6<1.86  (25-1).
 6. The imaging lens as claimed in claim 4, wherein theimaging lens satisfies a conditional expression given below:1.58<Nd6<1.89.
 7. The imaging lens as claimed in claim 1, wherein theimaging lens satisfies a conditional expression given below:0.19<Db23/f<1.0  (21-3) where Db23: air space on the optical axisbetween the second lens and the third lens.
 8. The imaging lens asclaimed in claim 1, wherein the imaging lens satisfies a conditionalexpression given below:νd4<60 where νd4: Abbe number of the material of the fourth lens withrespect to the d-line.
 9. The imaging lens as claimed in claim 1,wherein the imaging lens satisfies a conditional expression given below:f2/f<1.68  (2) where f2: focal length of the second lens.
 10. Theimaging lens as claimed in claim 1, wherein the imaging lens satisfies aconditional expression given below:f12/f<2.5  (8) where f12: combined focal length of the first lens andthe second lens.
 11. The imaging lens as claimed in claim 1, wherein theimaging lens satisfies a conditional expression given below:f5/f<5.0  (9) where f5: focal length of the fifth lens.
 12. The imaginglens as claimed in claim 1, wherein the imaging lens satisfies aconditional expression given below:−4.0<(R6f+R6r)/(R6f−R6r)  (12) where R6f: paraxial radius of curvatureof the object side surface of the sixth lens, and R6r: paraxial radiusof curvature of the image side surface of the sixth lens.
 13. Theimaging lens as claimed in claim 1, wherein the imaging lens satisfies aconditional expression given below:0.0<R1f/f  (13).
 14. The imaging lens as claimed in claim 1, wherein theimaging lens satisfies a conditional expression given below:−3.0<f1/f<−0.5  (14) where f1: focal length of the first lens.
 15. Theimaging lens as claimed in claim 1, wherein the imaging lens satisfies aconditional expression given below:0.1<f12/f3456<2.0  (15) where f12: combined focal length of the firstlens and the second lens, and f3456: combined focal length of the thirdlens to the sixth lens.
 16. The imaging lens as claimed in claim 1,wherein the imaging lens satisfies a conditional expression given below:0.2<(D3+Db23)/f<3.0  (16) where D3: center thickness of the second lens,Db23: air space on the optical axis between the second lens and thethird lens.
 17. The imaging lens as claimed in claim 1, wherein theimaging lens satisfies a conditional expression given below:−3.0<f1/f2<−0.2  (17) where f1: focal length of the first lens, and f2:focal length of the second lens.
 18. The imaging lens as claimed inclaim 1, wherein the imaging lens satisfies a conditional expressiongiven below:νd3<30  (18) where νd3: Abbe number of the material of the third lenswith respect to the d-line.
 19. An imaging apparatus, comprising theimaging lens as claimed in claim 1.